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Finding the Fourth Proportional to 221,722.85, 332,666.90 and 133,040

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Solution

The fourth proportional to 221,722.85, 332,666.90 and 133,040 is: 199,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722.85 : 332,666.90 = 133,040 : x
  2. Step 2: Convert to fraction form
    221,722.85/332,666.90 = 133,040/x
  3. Step 3: Cross multiply
    221,722.85x = 332,666.90 × 133,040
  4. Step 4: Simplify right side
    221,722.85x = 44,258,004,376
  5. Step 5: Solve for x
    x = 44,258,004,376/221,722.85
  6. Step 6: Final answer
    x = 199,609.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.