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Finding the Fourth Proportional to 165,787.62, 228,773.23 and 97,807.47

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Solution

The fourth proportional to 165,787.62, 228,773.23 and 97,807.47 is: 134,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,787.62 : 228,773.23 = 97,807.47 : x
  2. Step 2: Convert to fraction form
    165,787.62/228,773.23 = 97,807.47/x
  3. Step 3: Cross multiply
    165,787.62x = 228,773.23 × 97,807.47
  4. Step 4: Simplify right side
    165,787.62x = 22,375,730,830.03
  5. Step 5: Solve for x
    x = 22,375,730,830.03/165,787.62
  6. Step 6: Final answer
    x = 134,966.23

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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.