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Finding the Fourth Proportional to 100,142.96, 138,191.94 and 54,812.16

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Solution

The fourth proportional to 100,142.96, 138,191.94 and 54,812.16 is: 75,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.96 : 138,191.94 = 54,812.16 : x
  2. Step 2: Convert to fraction form
    100,142.96/138,191.94 = 54,812.16/x
  3. Step 3: Cross multiply
    100,142.96x = 138,191.94 × 54,812.16
  4. Step 4: Simplify right side
    100,142.96x = 7,574,598,725.99
  5. Step 5: Solve for x
    x = 7,574,598,725.99/100,142.96
  6. Step 6: Final answer
    x = 75,637.86

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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.