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Finding the Fourth Proportional to 257,458.11, 386,267.80 and 115,422.49

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Solution

The fourth proportional to 257,458.11, 386,267.80 and 115,422.49 is: 173,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,458.11 : 386,267.80 = 115,422.49 : x
  2. Step 2: Convert to fraction form
    257,458.11/386,267.80 = 115,422.49/x
  3. Step 3: Cross multiply
    257,458.11x = 386,267.80 × 115,422.49
  4. Step 4: Simplify right side
    257,458.11x = 44,583,991,282.82
  5. Step 5: Solve for x
    x = 44,583,991,282.82/257,458.11
  6. Step 6: Final answer
    x = 173,169.88

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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.