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Finding the Fourth Proportional to 257,141.34, 385,737.38 and 88,639.48

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Solution

The fourth proportional to 257,141.34, 385,737.38 and 88,639.48 is: 132,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.34 : 385,737.38 = 88,639.48 : x
  2. Step 2: Convert to fraction form
    257,141.34/385,737.38 = 88,639.48/x
  3. Step 3: Cross multiply
    257,141.34x = 385,737.38 × 88,639.48
  4. Step 4: Simplify right side
    257,141.34x = 34,191,559,870.82
  5. Step 5: Solve for x
    x = 34,191,559,870.82/257,141.34
  6. Step 6: Final answer
    x = 132,967.96

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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.