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Finding the Fourth Proportional to 165,153.68, 227,913.28 and 89,702.16

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Solution

The fourth proportional to 165,153.68, 227,913.28 and 89,702.16 is: 123,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,153.68 : 227,913.28 = 89,702.16 : x
  2. Step 2: Convert to fraction form
    165,153.68/227,913.28 = 89,702.16/x
  3. Step 3: Cross multiply
    165,153.68x = 227,913.28 × 89,702.16
  4. Step 4: Simplify right side
    165,153.68x = 20,444,313,508.68
  5. Step 5: Solve for x
    x = 20,444,313,508.68/165,153.68
  6. Step 6: Final answer
    x = 123,789.63

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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.