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Finding the Fourth Proportional to 122,102.58, 183,132.87 and 36,712.14

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Solution

The fourth proportional to 122,102.58, 183,132.87 and 36,712.14 is: 55,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,102.58 : 183,132.87 = 36,712.14 : x
  2. Step 2: Convert to fraction form
    122,102.58/183,132.87 = 36,712.14/x
  3. Step 3: Cross multiply
    122,102.58x = 183,132.87 × 36,712.14
  4. Step 4: Simplify right side
    122,102.58x = 6,723,199,562.04
  5. Step 5: Solve for x
    x = 6,723,199,562.04/122,102.58
  6. Step 6: Final answer
    x = 55,061.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.