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Finding the Fourth Proportional to 137,901.38, 190,177.54 and 89,452.85

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Solution

The fourth proportional to 137,901.38, 190,177.54 and 89,452.85 is: 123,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,901.38 : 190,177.54 = 89,452.85 : x
  2. Step 2: Convert to fraction form
    137,901.38/190,177.54 = 89,452.85/x
  3. Step 3: Cross multiply
    137,901.38x = 190,177.54 × 89,452.85
  4. Step 4: Simplify right side
    137,901.38x = 17,011,921,784.47
  5. Step 5: Solve for x
    x = 17,011,921,784.47/137,901.38
  6. Step 6: Final answer
    x = 123,362.96

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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.