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Finding the Fourth Proportional to 78,116.22, 107,800.38 and 42,306.36

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Solution

The fourth proportional to 78,116.22, 107,800.38 and 42,306.36 is: 58,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.22 : 107,800.38 = 42,306.36 : x
  2. Step 2: Convert to fraction form
    78,116.22/107,800.38 = 42,306.36/x
  3. Step 3: Cross multiply
    78,116.22x = 107,800.38 × 42,306.36
  4. Step 4: Simplify right side
    78,116.22x = 4,560,641,684.42
  5. Step 5: Solve for x
    x = 4,560,641,684.42/78,116.22
  6. Step 6: Final answer
    x = 58,382.77

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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.