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Finding the Fourth Proportional to 136,178.46, 204,267.78 and 42,691.50

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Solution

The fourth proportional to 136,178.46, 204,267.78 and 42,691.50 is: 64,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,178.46 : 204,267.78 = 42,691.50 : x
  2. Step 2: Convert to fraction form
    136,178.46/204,267.78 = 42,691.50/x
  3. Step 3: Cross multiply
    136,178.46x = 204,267.78 × 42,691.50
  4. Step 4: Simplify right side
    136,178.46x = 8,720,497,929.87
  5. Step 5: Solve for x
    x = 8,720,497,929.87/136,178.46
  6. Step 6: Final answer
    x = 64,037.28

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