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Finding the Fourth Proportional to 135,531.90, 203,297.85 and 65,547.90

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Solution

The fourth proportional to 135,531.90, 203,297.85 and 65,547.90 is: 98,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,531.90 : 203,297.85 = 65,547.90 : x
  2. Step 2: Convert to fraction form
    135,531.90/203,297.85 = 65,547.90/x
  3. Step 3: Cross multiply
    135,531.90x = 203,297.85 × 65,547.90
  4. Step 4: Simplify right side
    135,531.90x = 13,325,747,142.02
  5. Step 5: Solve for x
    x = 13,325,747,142.02/135,531.90
  6. Step 6: Final answer
    x = 98,321.85

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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.