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Finding the Fourth Proportional to 232,983.40, 349,475.42 and 70,878.86

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Solution

The fourth proportional to 232,983.40, 349,475.42 and 70,878.86 is: 106,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,983.40 : 349,475.42 = 70,878.86 : x
  2. Step 2: Convert to fraction form
    232,983.40/349,475.42 = 70,878.86/x
  3. Step 3: Cross multiply
    232,983.40x = 349,475.42 × 70,878.86
  4. Step 4: Simplify right side
    232,983.40x = 24,770,419,367.62
  5. Step 5: Solve for x
    x = 24,770,419,367.62/232,983.40
  6. Step 6: Final answer
    x = 106,318.39

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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.