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Finding the Fourth Proportional to 182,326, 251,619.72 and 106,898.80

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Solution

The fourth proportional to 182,326, 251,619.72 and 106,898.80 is: 147,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,326 : 251,619.72 = 106,898.80 : x
  2. Step 2: Convert to fraction form
    182,326/251,619.72 = 106,898.80/x
  3. Step 3: Cross multiply
    182,326x = 251,619.72 × 106,898.80
  4. Step 4: Simplify right side
    182,326x = 26,897,846,124.34
  5. Step 5: Solve for x
    x = 26,897,846,124.34/182,326
  6. Step 6: Final answer
    x = 147,526.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.