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Finding the Fourth Proportional to 78,822.70, 118,234.05 and 75,712.30

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Solution

The fourth proportional to 78,822.70, 118,234.05 and 75,712.30 is: 113,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822.70 : 118,234.05 = 75,712.30 : x
  2. Step 2: Convert to fraction form
    78,822.70/118,234.05 = 75,712.30/x
  3. Step 3: Cross multiply
    78,822.70x = 118,234.05 × 75,712.30
  4. Step 4: Simplify right side
    78,822.70x = 8,951,771,863.82
  5. Step 5: Solve for x
    x = 8,951,771,863.82/78,822.70
  6. Step 6: Final answer
    x = 113,568.45

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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.