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Finding the Fourth Proportional to 221,452.30, 332,178.45 and 127,848.70

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Solution

The fourth proportional to 221,452.30, 332,178.45 and 127,848.70 is: 191,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,452.30 : 332,178.45 = 127,848.70 : x
  2. Step 2: Convert to fraction form
    221,452.30/332,178.45 = 127,848.70/x
  3. Step 3: Cross multiply
    221,452.30x = 332,178.45 × 127,848.70
  4. Step 4: Simplify right side
    221,452.30x = 42,468,583,000.52
  5. Step 5: Solve for x
    x = 42,468,583,000.52/221,452.30
  6. Step 6: Final answer
    x = 191,773.05

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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.