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Finding the Fourth Proportional to 90,109.92, 135,173.52 and 40,188

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Solution

The fourth proportional to 90,109.92, 135,173.52 and 40,188 is: 60,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,109.92 : 135,173.52 = 40,188 : x
  2. Step 2: Convert to fraction form
    90,109.92/135,173.52 = 40,188/x
  3. Step 3: Cross multiply
    90,109.92x = 135,173.52 × 40,188
  4. Step 4: Simplify right side
    90,109.92x = 5,432,353,421.76
  5. Step 5: Solve for x
    x = 5,432,353,421.76/90,109.92
  6. Step 6: Final answer
    x = 60,285.85

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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.