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Finding the Fourth Proportional to 186,497.34, 257,366.34 and 101,614.38

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Solution

The fourth proportional to 186,497.34, 257,366.34 and 101,614.38 is: 140,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,497.34 : 257,366.34 = 101,614.38 : x
  2. Step 2: Convert to fraction form
    186,497.34/257,366.34 = 101,614.38/x
  3. Step 3: Cross multiply
    186,497.34x = 257,366.34 × 101,614.38
  4. Step 4: Simplify right side
    186,497.34x = 26,152,121,071.97
  5. Step 5: Solve for x
    x = 26,152,121,071.97/186,497.34
  6. Step 6: Final answer
    x = 140,227.85

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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.