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Finding the Fourth Proportional to 225,432.30, 338,022.06 and 154,435.14

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Solution

The fourth proportional to 225,432.30, 338,022.06 and 154,435.14 is: 231,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,432.30 : 338,022.06 = 154,435.14 : x
  2. Step 2: Convert to fraction form
    225,432.30/338,022.06 = 154,435.14/x
  3. Step 3: Cross multiply
    225,432.30x = 338,022.06 × 154,435.14
  4. Step 4: Simplify right side
    225,432.30x = 52,202,484,159.19
  5. Step 5: Solve for x
    x = 52,202,484,159.19/225,432.30
  6. Step 6: Final answer
    x = 231,566.12

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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.