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Finding the Fourth Proportional to 232,765.50, 349,168.50 and 64,286.04

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Solution

The fourth proportional to 232,765.50, 349,168.50 and 64,286.04 is: 96,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,765.50 : 349,168.50 = 64,286.04 : x
  2. Step 2: Convert to fraction form
    232,765.50/349,168.50 = 64,286.04/x
  3. Step 3: Cross multiply
    232,765.50x = 349,168.50 × 64,286.04
  4. Step 4: Simplify right side
    232,765.50x = 22,446,660,157.74
  5. Step 5: Solve for x
    x = 22,446,660,157.74/232,765.50
  6. Step 6: Final answer
    x = 96,434.65

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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.