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Finding the Fourth Proportional to 221,580.80, 332,371.20 and 127,977.20

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Solution

The fourth proportional to 221,580.80, 332,371.20 and 127,977.20 is: 191,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,580.80 : 332,371.20 = 127,977.20 : x
  2. Step 2: Convert to fraction form
    221,580.80/332,371.20 = 127,977.20/x
  3. Step 3: Cross multiply
    221,580.80x = 332,371.20 × 127,977.20
  4. Step 4: Simplify right side
    221,580.80x = 42,535,935,536.64
  5. Step 5: Solve for x
    x = 42,535,935,536.64/221,580.80
  6. Step 6: Final answer
    x = 191,965.80

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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.