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Finding the Fourth Proportional to 160,793.76, 221,893.20 and 89,175.12

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Solution

The fourth proportional to 160,793.76, 221,893.20 and 89,175.12 is: 123,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,793.76 : 221,893.20 = 89,175.12 : x
  2. Step 2: Convert to fraction form
    160,793.76/221,893.20 = 89,175.12/x
  3. Step 3: Cross multiply
    160,793.76x = 221,893.20 × 89,175.12
  4. Step 4: Simplify right side
    160,793.76x = 19,787,352,737.18
  5. Step 5: Solve for x
    x = 19,787,352,737.18/160,793.76
  6. Step 6: Final answer
    x = 123,060.45

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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.