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Finding the Fourth Proportional to 221,740.56, 332,693.44 and 133,057.70

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Solution

The fourth proportional to 221,740.56, 332,693.44 and 133,057.70 is: 199,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,740.56 : 332,693.44 = 133,057.70 : x
  2. Step 2: Convert to fraction form
    221,740.56/332,693.44 = 133,057.70/x
  3. Step 3: Cross multiply
    221,740.56x = 332,693.44 × 133,057.70
  4. Step 4: Simplify right side
    221,740.56x = 44,267,423,931.49
  5. Step 5: Solve for x
    x = 44,267,423,931.49/221,740.56
  6. Step 6: Final answer
    x = 199,636.11

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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.