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Finding the Fourth Proportional to 138,134.82, 190,626.96 and 77,704.98

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Solution

The fourth proportional to 138,134.82, 190,626.96 and 77,704.98 is: 107,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,134.82 : 190,626.96 = 77,704.98 : x
  2. Step 2: Convert to fraction form
    138,134.82/190,626.96 = 77,704.98/x
  3. Step 3: Cross multiply
    138,134.82x = 190,626.96 × 77,704.98
  4. Step 4: Simplify right side
    138,134.82x = 14,812,664,114.26
  5. Step 5: Solve for x
    x = 14,812,664,114.26/138,134.82
  6. Step 6: Final answer
    x = 107,233.38

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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.