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Finding the Fourth Proportional to 139,016.38, 191,842.74 and 75,354.16

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Solution

The fourth proportional to 139,016.38, 191,842.74 and 75,354.16 is: 103,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,016.38 : 191,842.74 = 75,354.16 : x
  2. Step 2: Convert to fraction form
    139,016.38/191,842.74 = 75,354.16/x
  3. Step 3: Cross multiply
    139,016.38x = 191,842.74 × 75,354.16
  4. Step 4: Simplify right side
    139,016.38x = 14,456,148,524.80
  5. Step 5: Solve for x
    x = 14,456,148,524.80/139,016.38
  6. Step 6: Final answer
    x = 103,988.81

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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.