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Finding the Fourth Proportional to 140,142.78, 193,397.58 and 76,482

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Solution

The fourth proportional to 140,142.78, 193,397.58 and 76,482 is: 105,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142.78 : 193,397.58 = 76,482 : x
  2. Step 2: Convert to fraction form
    140,142.78/193,397.58 = 76,482/x
  3. Step 3: Cross multiply
    140,142.78x = 193,397.58 × 76,482
  4. Step 4: Simplify right side
    140,142.78x = 14,791,433,713.56
  5. Step 5: Solve for x
    x = 14,791,433,713.56/140,142.78
  6. Step 6: Final answer
    x = 105,545.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.