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Finding the Fourth Proportional to 135,435.16, 203,206.20 and 41,948.20

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Solution

The fourth proportional to 135,435.16, 203,206.20 and 41,948.20 is: 62,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,435.16 : 203,206.20 = 41,948.20 : x
  2. Step 2: Convert to fraction form
    135,435.16/203,206.20 = 41,948.20/x
  3. Step 3: Cross multiply
    135,435.16x = 203,206.20 × 41,948.20
  4. Step 4: Simplify right side
    135,435.16x = 8,524,134,318.84
  5. Step 5: Solve for x
    x = 8,524,134,318.84/135,435.16
  6. Step 6: Final answer
    x = 62,938.86

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Why These Related Problems?

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