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Finding the Fourth Proportional to 120,385.11, 166,076.32 and 77,957.31

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Solution

The fourth proportional to 120,385.11, 166,076.32 and 77,957.31 is: 107,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,385.11 : 166,076.32 = 77,957.31 : x
  2. Step 2: Convert to fraction form
    120,385.11/166,076.32 = 77,957.31/x
  3. Step 3: Cross multiply
    120,385.11x = 166,076.32 × 77,957.31
  4. Step 4: Simplify right side
    120,385.11x = 12,946,863,161.90
  5. Step 5: Solve for x
    x = 12,946,863,161.90/120,385.11
  6. Step 6: Final answer
    x = 107,545.39

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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.