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Finding the Fourth Proportional to 138,894.67, 191,674.66 and 75,232.49

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Solution

The fourth proportional to 138,894.67, 191,674.66 and 75,232.49 is: 103,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.67 : 191,674.66 = 75,232.49 : x
  2. Step 2: Convert to fraction form
    138,894.67/191,674.66 = 75,232.49/x
  3. Step 3: Cross multiply
    138,894.67x = 191,674.66 × 75,232.49
  4. Step 4: Simplify right side
    138,894.67x = 14,420,161,753.62
  5. Step 5: Solve for x
    x = 14,420,161,753.62/138,894.67
  6. Step 6: Final answer
    x = 103,820.84

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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.