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Finding the Fourth Proportional to 257,584.74, 386,104.41 and 86,643.72

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Solution

The fourth proportional to 257,584.74, 386,104.41 and 86,643.72 is: 129,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.74 : 386,104.41 = 86,643.72 : x
  2. Step 2: Convert to fraction form
    257,584.74/386,104.41 = 86,643.72/x
  3. Step 3: Cross multiply
    257,584.74x = 386,104.41 × 86,643.72
  4. Step 4: Simplify right side
    257,584.74x = 33,453,521,957.59
  5. Step 5: Solve for x
    x = 33,453,521,957.59/257,584.74
  6. Step 6: Final answer
    x = 129,873.85

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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.