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Finding the Fourth Proportional to 186,265.56, 257,046.06 and 101,382.42

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Solution

The fourth proportional to 186,265.56, 257,046.06 and 101,382.42 is: 139,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,265.56 : 257,046.06 = 101,382.42 : x
  2. Step 2: Convert to fraction form
    186,265.56/257,046.06 = 101,382.42/x
  3. Step 3: Cross multiply
    186,265.56x = 257,046.06 × 101,382.42
  4. Step 4: Simplify right side
    186,265.56x = 26,059,951,614.27
  5. Step 5: Solve for x
    x = 26,059,951,614.27/186,265.56
  6. Step 6: Final answer
    x = 139,907.51

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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.