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Finding the Fourth Proportional to 151,951.68, 209,689.56 and 83,965.14

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Solution

The fourth proportional to 151,951.68, 209,689.56 and 83,965.14 is: 115,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.68 : 209,689.56 = 83,965.14 : x
  2. Step 2: Convert to fraction form
    151,951.68/209,689.56 = 83,965.14/x
  3. Step 3: Cross multiply
    151,951.68x = 209,689.56 × 83,965.14
  4. Step 4: Simplify right side
    151,951.68x = 17,606,613,261.94
  5. Step 5: Solve for x
    x = 17,606,613,261.94/151,951.68
  6. Step 6: Final answer
    x = 115,869.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.