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Finding the Fourth Proportional to 221,712.70, 332,569.05 and 133,066.30

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Solution

The fourth proportional to 221,712.70, 332,569.05 and 133,066.30 is: 199,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712.70 : 332,569.05 = 133,066.30 : x
  2. Step 2: Convert to fraction form
    221,712.70/332,569.05 = 133,066.30/x
  3. Step 3: Cross multiply
    221,712.70x = 332,569.05 × 133,066.30
  4. Step 4: Simplify right side
    221,712.70x = 44,253,732,978.02
  5. Step 5: Solve for x
    x = 44,253,732,978.02/221,712.70
  6. Step 6: Final answer
    x = 199,599.45

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1.5x scale

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.