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Finding the Fourth Proportional to 140,156.81, 193,355.72 and 85,711.36

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Solution

The fourth proportional to 140,156.81, 193,355.72 and 85,711.36 is: 118,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,156.81 : 193,355.72 = 85,711.36 : x
  2. Step 2: Convert to fraction form
    140,156.81/193,355.72 = 85,711.36/x
  3. Step 3: Cross multiply
    140,156.81x = 193,355.72 × 85,711.36
  4. Step 4: Simplify right side
    140,156.81x = 16,572,781,724.98
  5. Step 5: Solve for x
    x = 16,572,781,724.98/140,156.81
  6. Step 6: Final answer
    x = 118,244.57

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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.