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Finding the Fourth Proportional to 257,584.59, 386,333.15 and 68,047.02

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Solution

The fourth proportional to 257,584.59, 386,333.15 and 68,047.02 is: 102,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.59 : 386,333.15 = 68,047.02 : x
  2. Step 2: Convert to fraction form
    257,584.59/386,333.15 = 68,047.02/x
  3. Step 3: Cross multiply
    257,584.59x = 386,333.15 × 68,047.02
  4. Step 4: Simplify right side
    257,584.59x = 26,288,819,244.48
  5. Step 5: Solve for x
    x = 26,288,819,244.48/257,584.59
  6. Step 6: Final answer
    x = 102,058.98

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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.