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Finding the Fourth Proportional to 223,771.72, 335,706.90 and 97,432.24

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Solution

The fourth proportional to 223,771.72, 335,706.90 and 97,432.24 is: 146,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,771.72 : 335,706.90 = 97,432.24 : x
  2. Step 2: Convert to fraction form
    223,771.72/335,706.90 = 97,432.24/x
  3. Step 3: Cross multiply
    223,771.72x = 335,706.90 × 97,432.24
  4. Step 4: Simplify right side
    223,771.72x = 32,708,675,250.46
  5. Step 5: Solve for x
    x = 32,708,675,250.46/223,771.72
  6. Step 6: Final answer
    x = 146,169.83

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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.