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Finding the Fourth Proportional to 221,460.29, 332,243.35 and 71,700.74

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Solution

The fourth proportional to 221,460.29, 332,243.35 and 71,700.74 is: 107,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460.29 : 332,243.35 = 71,700.74 : x
  2. Step 2: Convert to fraction form
    221,460.29/332,243.35 = 71,700.74/x
  3. Step 3: Cross multiply
    221,460.29x = 332,243.35 × 71,700.74
  4. Step 4: Simplify right side
    221,460.29x = 23,822,094,706.44
  5. Step 5: Solve for x
    x = 23,822,094,706.44/221,460.29
  6. Step 6: Final answer
    x = 107,568.24

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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.