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Finding the Fourth Proportional to 142,191.40, 213,162.12 and 58,022.44

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Solution

The fourth proportional to 142,191.40, 213,162.12 and 58,022.44 is: 86,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,191.40 : 213,162.12 = 58,022.44 : x
  2. Step 2: Convert to fraction form
    142,191.40/213,162.12 = 58,022.44/x
  3. Step 3: Cross multiply
    142,191.40x = 213,162.12 × 58,022.44
  4. Step 4: Simplify right side
    142,191.40x = 12,368,186,317.97
  5. Step 5: Solve for x
    x = 12,368,186,317.97/142,191.40
  6. Step 6: Final answer
    x = 86,982.66

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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.