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Finding the Fourth Proportional to 151,591, 209,192.74 and 83,614.32

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Solution

The fourth proportional to 151,591, 209,192.74 and 83,614.32 is: 115,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,591 : 209,192.74 = 83,614.32 : x
  2. Step 2: Convert to fraction form
    151,591/209,192.74 = 83,614.32/x
  3. Step 3: Cross multiply
    151,591x = 209,192.74 × 83,614.32
  4. Step 4: Simplify right side
    151,591x = 17,491,508,704.04
  5. Step 5: Solve for x
    x = 17,491,508,704.04/151,591
  6. Step 6: Final answer
    x = 115,386.20

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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.