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Finding the Fourth Proportional to 136,136.32, 187,853.73 and 75,697.21

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Solution

The fourth proportional to 136,136.32, 187,853.73 and 75,697.21 is: 104,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,136.32 : 187,853.73 = 75,697.21 : x
  2. Step 2: Convert to fraction form
    136,136.32/187,853.73 = 75,697.21/x
  3. Step 3: Cross multiply
    136,136.32x = 187,853.73 × 75,697.21
  4. Step 4: Simplify right side
    136,136.32x = 14,220,002,400.97
  5. Step 5: Solve for x
    x = 14,220,002,400.97/136,136.32
  6. Step 6: Final answer
    x = 104,454.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.