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Finding the Fourth Proportional to 138,853.86, 191,618.28 and 75,191.64

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Solution

The fourth proportional to 138,853.86, 191,618.28 and 75,191.64 is: 103,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.86 : 191,618.28 = 75,191.64 : x
  2. Step 2: Convert to fraction form
    138,853.86/191,618.28 = 75,191.64/x
  3. Step 3: Cross multiply
    138,853.86x = 191,618.28 × 75,191.64
  4. Step 4: Simplify right side
    138,853.86x = 14,408,092,727.18
  5. Step 5: Solve for x
    x = 14,408,092,727.18/138,853.86
  6. Step 6: Final answer
    x = 103,764.44

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1.5x scale

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.