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Finding the Fourth Proportional to 100,214.34, 138,168.36 and 71,568.29

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Solution

The fourth proportional to 100,214.34, 138,168.36 and 71,568.29 is: 98,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.34 : 138,168.36 = 71,568.29 : x
  2. Step 2: Convert to fraction form
    100,214.34/138,168.36 = 71,568.29/x
  3. Step 3: Cross multiply
    100,214.34x = 138,168.36 × 71,568.29
  4. Step 4: Simplify right side
    100,214.34x = 9,888,472,566.46
  5. Step 5: Solve for x
    x = 9,888,472,566.46/100,214.34
  6. Step 6: Final answer
    x = 98,673.23

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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.