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Finding the Fourth Proportional to 221,772.84, 332,574.05 and 174,480.78

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Solution

The fourth proportional to 221,772.84, 332,574.05 and 174,480.78 is: 261,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,772.84 : 332,574.05 = 174,480.78 : x
  2. Step 2: Convert to fraction form
    221,772.84/332,574.05 = 174,480.78/x
  3. Step 3: Cross multiply
    221,772.84x = 332,574.05 × 174,480.78
  4. Step 4: Simplify right side
    221,772.84x = 58,027,781,335.11
  5. Step 5: Solve for x
    x = 58,027,781,335.11/221,772.84
  6. Step 6: Final answer
    x = 261,654.14

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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.