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Finding the Fourth Proportional to 100,143.71, 138,192.98 and 54,812.90

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Solution

The fourth proportional to 100,143.71, 138,192.98 and 54,812.90 is: 75,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143.71 : 138,192.98 = 54,812.90 : x
  2. Step 2: Convert to fraction form
    100,143.71/138,192.98 = 54,812.90/x
  3. Step 3: Cross multiply
    100,143.71x = 138,192.98 × 54,812.90
  4. Step 4: Simplify right side
    100,143.71x = 7,574,757,028.41
  5. Step 5: Solve for x
    x = 7,574,757,028.41/100,143.71
  6. Step 6: Final answer
    x = 75,638.87

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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.