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Finding the Fourth Proportional to 138,800.50, 191,544.72 and 75,138.82

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Solution

The fourth proportional to 138,800.50, 191,544.72 and 75,138.82 is: 103,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,800.50 : 191,544.72 = 75,138.82 : x
  2. Step 2: Convert to fraction form
    138,800.50/191,544.72 = 75,138.82/x
  3. Step 3: Cross multiply
    138,800.50x = 191,544.72 × 75,138.82
  4. Step 4: Simplify right side
    138,800.50x = 14,392,444,238.03
  5. Step 5: Solve for x
    x = 14,392,444,238.03/138,800.50
  6. Step 6: Final answer
    x = 103,691.59

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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.