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Finding the Fourth Proportional to 142,105.68, 213,158.55 and 72,005.04

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Solution

The fourth proportional to 142,105.68, 213,158.55 and 72,005.04 is: 108,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.68 : 213,158.55 = 72,005.04 : x
  2. Step 2: Convert to fraction form
    142,105.68/213,158.55 = 72,005.04/x
  3. Step 3: Cross multiply
    142,105.68x = 213,158.55 × 72,005.04
  4. Step 4: Simplify right side
    142,105.68x = 15,348,489,919.09
  5. Step 5: Solve for x
    x = 15,348,489,919.09/142,105.68
  6. Step 6: Final answer
    x = 108,007.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.