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Finding the Fourth Proportional to 242,993.56, 335,337.70 and 135,584.50

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Solution

The fourth proportional to 242,993.56, 335,337.70 and 135,584.50 is: 187,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.56 : 335,337.70 = 135,584.50 : x
  2. Step 2: Convert to fraction form
    242,993.56/335,337.70 = 135,584.50/x
  3. Step 3: Cross multiply
    242,993.56x = 335,337.70 × 135,584.50
  4. Step 4: Simplify right side
    242,993.56x = 45,466,594,385.65
  5. Step 5: Solve for x
    x = 45,466,594,385.65/242,993.56
  6. Step 6: Final answer
    x = 187,110.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.