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Finding the Fourth Proportional to 140,234.80, 193,516.80 and 76,560.32

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Solution

The fourth proportional to 140,234.80, 193,516.80 and 76,560.32 is: 105,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,234.80 : 193,516.80 = 76,560.32 : x
  2. Step 2: Convert to fraction form
    140,234.80/193,516.80 = 76,560.32/x
  3. Step 3: Cross multiply
    140,234.80x = 193,516.80 × 76,560.32
  4. Step 4: Simplify right side
    140,234.80x = 14,815,708,133.38
  5. Step 5: Solve for x
    x = 14,815,708,133.38/140,234.80
  6. Step 6: Final answer
    x = 105,649.30

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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.