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Finding the Fourth Proportional to 221,241.20, 332,034.60 and 102,927.20

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Solution

The fourth proportional to 221,241.20, 332,034.60 and 102,927.20 is: 154,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,241.20 : 332,034.60 = 102,927.20 : x
  2. Step 2: Convert to fraction form
    221,241.20/332,034.60 = 102,927.20/x
  3. Step 3: Cross multiply
    221,241.20x = 332,034.60 × 102,927.20
  4. Step 4: Simplify right side
    221,241.20x = 34,175,391,681.12
  5. Step 5: Solve for x
    x = 34,175,391,681.12/221,241.20
  6. Step 6: Final answer
    x = 154,471.19

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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.