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Finding the Fourth Proportional to 225,812.70, 338,719.64 and 76,158.10

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Solution

The fourth proportional to 225,812.70, 338,719.64 and 76,158.10 is: 114,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812.70 : 338,719.64 = 76,158.10 : x
  2. Step 2: Convert to fraction form
    225,812.70/338,719.64 = 76,158.10/x
  3. Step 3: Cross multiply
    225,812.70x = 338,719.64 × 76,158.10
  4. Step 4: Simplify right side
    225,812.70x = 25,796,244,215.08
  5. Step 5: Solve for x
    x = 25,796,244,215.08/225,812.70
  6. Step 6: Final answer
    x = 114,237.35

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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.