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Finding the Fourth Proportional to 257,787, 386,588.24 and 89,262.10

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Solution

The fourth proportional to 257,787, 386,588.24 and 89,262.10 is: 133,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,787 : 386,588.24 = 89,262.10 : x
  2. Step 2: Convert to fraction form
    257,787/386,588.24 = 89,262.10/x
  3. Step 3: Cross multiply
    257,787x = 386,588.24 × 89,262.10
  4. Step 4: Simplify right side
    257,787x = 34,507,675,758.45
  5. Step 5: Solve for x
    x = 34,507,675,758.45/257,787
  6. Step 6: Final answer
    x = 133,861.19

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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.