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Finding the Fourth Proportional to 120,400.38, 166,153.77 and 72,644.50

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Solution

The fourth proportional to 120,400.38, 166,153.77 and 72,644.50 is: 100,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,400.38 : 166,153.77 = 72,644.50 : x
  2. Step 2: Convert to fraction form
    120,400.38/166,153.77 = 72,644.50/x
  3. Step 3: Cross multiply
    120,400.38x = 166,153.77 × 72,644.50
  4. Step 4: Simplify right side
    120,400.38x = 12,070,157,544.77
  5. Step 5: Solve for x
    x = 12,070,157,544.77/120,400.38
  6. Step 6: Final answer
    x = 100,250.16

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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.