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Finding the Fourth Proportional to 232,729.32, 349,107.84 and 72,835.14

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Solution

The fourth proportional to 232,729.32, 349,107.84 and 72,835.14 is: 109,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,729.32 : 349,107.84 = 72,835.14 : x
  2. Step 2: Convert to fraction form
    232,729.32/349,107.84 = 72,835.14/x
  3. Step 3: Cross multiply
    232,729.32x = 349,107.84 × 72,835.14
  4. Step 4: Simplify right side
    232,729.32x = 25,427,318,401.50
  5. Step 5: Solve for x
    x = 25,427,318,401.50/232,729.32
  6. Step 6: Final answer
    x = 109,257.05

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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.