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Finding the Fourth Proportional to 186,542.38, 257,428.49 and 101,659.38

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Solution

The fourth proportional to 186,542.38, 257,428.49 and 101,659.38 is: 140,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,542.38 : 257,428.49 = 101,659.38 : x
  2. Step 2: Convert to fraction form
    186,542.38/257,428.49 = 101,659.38/x
  3. Step 3: Cross multiply
    186,542.38x = 257,428.49 × 101,659.38
  4. Step 4: Simplify right side
    186,542.38x = 26,170,020,687.74
  5. Step 5: Solve for x
    x = 26,170,020,687.74/186,542.38
  6. Step 6: Final answer
    x = 140,289.95

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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.