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Finding the Fourth Proportional to 257,141.24, 385,737.24 and 88,639.38

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Solution

The fourth proportional to 257,141.24, 385,737.24 and 88,639.38 is: 132,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.24 : 385,737.24 = 88,639.38 : x
  2. Step 2: Convert to fraction form
    257,141.24/385,737.24 = 88,639.38/x
  3. Step 3: Cross multiply
    257,141.24x = 385,737.24 × 88,639.38
  4. Step 4: Simplify right side
    257,141.24x = 34,191,511,243.03
  5. Step 5: Solve for x
    x = 34,191,511,243.03/257,141.24
  6. Step 6: Final answer
    x = 132,967.82

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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.