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Finding the Fourth Proportional to 138,846.77, 191,609.47 and 75,184.57

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Solution

The fourth proportional to 138,846.77, 191,609.47 and 75,184.57 is: 103,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846.77 : 191,609.47 = 75,184.57 : x
  2. Step 2: Convert to fraction form
    138,846.77/191,609.47 = 75,184.57/x
  3. Step 3: Cross multiply
    138,846.77x = 191,609.47 × 75,184.57
  4. Step 4: Simplify right side
    138,846.77x = 14,406,074,754.93
  5. Step 5: Solve for x
    x = 14,406,074,754.93/138,846.77
  6. Step 6: Final answer
    x = 103,755.20

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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.