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Finding the Fourth Proportional to 221,968.32, 306,331.91 and 125,180.83

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Solution

The fourth proportional to 221,968.32, 306,331.91 and 125,180.83 is: 172,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,968.32 : 306,331.91 = 125,180.83 : x
  2. Step 2: Convert to fraction form
    221,968.32/306,331.91 = 125,180.83/x
  3. Step 3: Cross multiply
    221,968.32x = 306,331.91 × 125,180.83
  4. Step 4: Simplify right side
    221,968.32x = 38,346,882,123.38
  5. Step 5: Solve for x
    x = 38,346,882,123.38/221,968.32
  6. Step 6: Final answer
    x = 172,758.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.