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Finding the Fourth Proportional to 160,992,071.80, 241,488,107.70 and 149,654,663.80

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Solution

The fourth proportional to 160,992,071.80, 241,488,107.70 and 149,654,663.80 is: 224,481,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992,071.80 : 241,488,107.70 = 149,654,663.80 : x
  2. Step 2: Convert to fraction form
    160,992,071.80/241,488,107.70 = 149,654,663.80/x
  3. Step 3: Cross multiply
    160,992,071.80x = 241,488,107.70 × 149,654,663.80
  4. Step 4: Simplify right side
    160,992,071.80x = 36,139,821,569,541,696
  5. Step 5: Solve for x
    x = 36,139,821,569,541,696/160,992,071.80
  6. Step 6: Final answer
    x = 224,481,995.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.