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Finding the Fourth Proportional to 134,229.87, 200,906.69 and 98,681.78

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Solution

The fourth proportional to 134,229.87, 200,906.69 and 98,681.78 is: 147,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,229.87 : 200,906.69 = 98,681.78 : x
  2. Step 2: Convert to fraction form
    134,229.87/200,906.69 = 98,681.78/x
  3. Step 3: Cross multiply
    134,229.87x = 200,906.69 × 98,681.78
  4. Step 4: Simplify right side
    134,229.87x = 19,825,829,791.97
  5. Step 5: Solve for x
    x = 19,825,829,791.97/134,229.87
  6. Step 6: Final answer
    x = 147,700.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.