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Finding the Fourth Proportional to 272,042.90, 408,064.35 and 146,071.70

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Solution

The fourth proportional to 272,042.90, 408,064.35 and 146,071.70 is: 219,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042.90 : 408,064.35 = 146,071.70 : x
  2. Step 2: Convert to fraction form
    272,042.90/408,064.35 = 146,071.70/x
  3. Step 3: Cross multiply
    272,042.90x = 408,064.35 × 146,071.70
  4. Step 4: Simplify right side
    272,042.90x = 59,606,653,313.90
  5. Step 5: Solve for x
    x = 59,606,653,313.90/272,042.90
  6. Step 6: Final answer
    x = 219,107.55

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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.