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Finding the Fourth Proportional to 90,147.96, 135,215.46 and 40,232.52

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Solution

The fourth proportional to 90,147.96, 135,215.46 and 40,232.52 is: 60,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,147.96 : 135,215.46 = 40,232.52 : x
  2. Step 2: Convert to fraction form
    90,147.96/135,215.46 = 40,232.52/x
  3. Step 3: Cross multiply
    90,147.96x = 135,215.46 × 40,232.52
  4. Step 4: Simplify right side
    90,147.96x = 5,440,058,698.76
  5. Step 5: Solve for x
    x = 5,440,058,698.76/90,147.96
  6. Step 6: Final answer
    x = 60,345.89

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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.