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Finding the Fourth Proportional to 257,597.40, 386,542.26 and 99,836.76

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Solution

The fourth proportional to 257,597.40, 386,542.26 and 99,836.76 is: 149,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,597.40 : 386,542.26 = 99,836.76 : x
  2. Step 2: Convert to fraction form
    257,597.40/386,542.26 = 99,836.76/x
  3. Step 3: Cross multiply
    257,597.40x = 386,542.26 × 99,836.76
  4. Step 4: Simplify right side
    257,597.40x = 38,591,126,841.48
  5. Step 5: Solve for x
    x = 38,591,126,841.48/257,597.40
  6. Step 6: Final answer
    x = 149,811.79

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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.