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Finding the Fourth Proportional to 136,142.46, 204,213.78 and 42,655.50

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Solution

The fourth proportional to 136,142.46, 204,213.78 and 42,655.50 is: 63,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,142.46 : 204,213.78 = 42,655.50 : x
  2. Step 2: Convert to fraction form
    136,142.46/204,213.78 = 42,655.50/x
  3. Step 3: Cross multiply
    136,142.46x = 204,213.78 × 42,655.50
  4. Step 4: Simplify right side
    136,142.46x = 8,710,840,892.79
  5. Step 5: Solve for x
    x = 8,710,840,892.79/136,142.46
  6. Step 6: Final answer
    x = 63,983.28

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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.