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Finding the Fourth Proportional to 259,575.41, 389,425.77 and 97,470.78

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Solution

The fourth proportional to 259,575.41, 389,425.77 and 97,470.78 is: 146,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,575.41 : 389,425.77 = 97,470.78 : x
  2. Step 2: Convert to fraction form
    259,575.41/389,425.77 = 97,470.78/x
  3. Step 3: Cross multiply
    259,575.41x = 389,425.77 × 97,470.78
  4. Step 4: Simplify right side
    259,575.41x = 37,957,633,554.00
  5. Step 5: Solve for x
    x = 37,957,633,554.00/259,575.41
  6. Step 6: Final answer
    x = 146,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.