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Finding the Fourth Proportional to 257,714.65, 386,479.36 and 89,189.25

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Solution

The fourth proportional to 257,714.65, 386,479.36 and 89,189.25 is: 133,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,714.65 : 386,479.36 = 89,189.25 : x
  2. Step 2: Convert to fraction form
    257,714.65/386,479.36 = 89,189.25/x
  3. Step 3: Cross multiply
    257,714.65x = 386,479.36 × 89,189.25
  4. Step 4: Simplify right side
    257,714.65x = 34,469,804,258.88
  5. Step 5: Solve for x
    x = 34,469,804,258.88/257,714.65
  6. Step 6: Final answer
    x = 133,751.82

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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.