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Finding the Fourth Proportional to 142,339.67, 213,342.78 and 58,047.20

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Solution

The fourth proportional to 142,339.67, 213,342.78 and 58,047.20 is: 87,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,339.67 : 213,342.78 = 58,047.20 : x
  2. Step 2: Convert to fraction form
    142,339.67/213,342.78 = 58,047.20/x
  3. Step 3: Cross multiply
    142,339.67x = 213,342.78 × 58,047.20
  4. Step 4: Simplify right side
    142,339.67x = 12,383,951,019.22
  5. Step 5: Solve for x
    x = 12,383,951,019.22/142,339.67
  6. Step 6: Final answer
    x = 87,002.81

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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.