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Finding the Fourth Proportional to 182,901.71, 252,414.16 and 102,324.43

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Solution

The fourth proportional to 182,901.71, 252,414.16 and 102,324.43 is: 141,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,901.71 : 252,414.16 = 102,324.43 : x
  2. Step 2: Convert to fraction form
    182,901.71/252,414.16 = 102,324.43/x
  3. Step 3: Cross multiply
    182,901.71x = 252,414.16 × 102,324.43
  4. Step 4: Simplify right side
    182,901.71x = 25,828,134,670.70
  5. Step 5: Solve for x
    x = 25,828,134,670.70/182,901.71
  6. Step 6: Final answer
    x = 141,213.19

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1.5x scale

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.