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Finding the Fourth Proportional to 165,433.20, 248,149.80 and 65,617.20

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Solution

The fourth proportional to 165,433.20, 248,149.80 and 65,617.20 is: 98,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,433.20 : 248,149.80 = 65,617.20 : x
  2. Step 2: Convert to fraction form
    165,433.20/248,149.80 = 65,617.20/x
  3. Step 3: Cross multiply
    165,433.20x = 248,149.80 × 65,617.20
  4. Step 4: Simplify right side
    165,433.20x = 16,282,895,056.56
  5. Step 5: Solve for x
    x = 16,282,895,056.56/165,433.20
  6. Step 6: Final answer
    x = 98,425.80

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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.