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Finding the Fourth Proportional to 100,136.32, 138,188.23 and 54,816.21

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Solution

The fourth proportional to 100,136.32, 138,188.23 and 54,816.21 is: 75,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.32 : 138,188.23 = 54,816.21 : x
  2. Step 2: Convert to fraction form
    100,136.32/138,188.23 = 54,816.21/x
  3. Step 3: Cross multiply
    100,136.32x = 138,188.23 × 54,816.21
  4. Step 4: Simplify right side
    100,136.32x = 7,574,954,898.17
  5. Step 5: Solve for x
    x = 7,574,954,898.17/100,136.32
  6. Step 6: Final answer
    x = 75,646.43

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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.