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Finding the Fourth Proportional to 78,141.50, 117,231.69 and 22,737.50

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Solution

The fourth proportional to 78,141.50, 117,231.69 and 22,737.50 is: 34,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.50 : 117,231.69 = 22,737.50 : x
  2. Step 2: Convert to fraction form
    78,141.50/117,231.69 = 22,737.50/x
  3. Step 3: Cross multiply
    78,141.50x = 117,231.69 × 22,737.50
  4. Step 4: Simplify right side
    78,141.50x = 2,665,555,551.38
  5. Step 5: Solve for x
    x = 2,665,555,551.38/78,141.50
  6. Step 6: Final answer
    x = 34,111.91

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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.