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Finding the Fourth Proportional to 257,642.65, 386,490.50 and 89,162.70

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Solution

The fourth proportional to 257,642.65, 386,490.50 and 89,162.70 is: 133,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,642.65 : 386,490.50 = 89,162.70 : x
  2. Step 2: Convert to fraction form
    257,642.65/386,490.50 = 89,162.70/x
  3. Step 3: Cross multiply
    257,642.65x = 386,490.50 × 89,162.70
  4. Step 4: Simplify right side
    257,642.65x = 34,460,536,504.35
  5. Step 5: Solve for x
    x = 34,460,536,504.35/257,642.65
  6. Step 6: Final answer
    x = 133,753.23

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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.