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Finding the Fourth Proportional to 221,283.66, 332,073.12 and 114,765.83

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Solution

The fourth proportional to 221,283.66, 332,073.12 and 114,765.83 is: 172,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,283.66 : 332,073.12 = 114,765.83 : x
  2. Step 2: Convert to fraction form
    221,283.66/332,073.12 = 114,765.83/x
  3. Step 3: Cross multiply
    221,283.66x = 332,073.12 × 114,765.83
  4. Step 4: Simplify right side
    221,283.66x = 38,110,645,577.12
  5. Step 5: Solve for x
    x = 38,110,645,577.12/221,283.66
  6. Step 6: Final answer
    x = 172,225.30

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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.