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Finding the Fourth Proportional to 113,178.85, 156,234.69 and 76,393.04

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Solution

The fourth proportional to 113,178.85, 156,234.69 and 76,393.04 is: 105,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,178.85 : 156,234.69 = 76,393.04 : x
  2. Step 2: Convert to fraction form
    113,178.85/156,234.69 = 76,393.04/x
  3. Step 3: Cross multiply
    113,178.85x = 156,234.69 × 76,393.04
  4. Step 4: Simplify right side
    113,178.85x = 11,935,242,141.38
  5. Step 5: Solve for x
    x = 11,935,242,141.38/113,178.85
  6. Step 6: Final answer
    x = 105,454.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.