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Finding the Fourth Proportional to 225,812.46, 338,719.28 and 76,157.87

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Solution

The fourth proportional to 225,812.46, 338,719.28 and 76,157.87 is: 114,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812.46 : 338,719.28 = 76,157.87 : x
  2. Step 2: Convert to fraction form
    225,812.46/338,719.28 = 76,157.87/x
  3. Step 3: Cross multiply
    225,812.46x = 338,719.28 × 76,157.87
  4. Step 4: Simplify right side
    225,812.46x = 25,796,138,892.73
  5. Step 5: Solve for x
    x = 25,796,138,892.73/225,812.46
  6. Step 6: Final answer
    x = 114,237.00

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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.