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Finding the Fourth Proportional to 215,164.80, 322,747.20 and 65,404.80

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Solution

The fourth proportional to 215,164.80, 322,747.20 and 65,404.80 is: 98,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,164.80 : 322,747.20 = 65,404.80 : x
  2. Step 2: Convert to fraction form
    215,164.80/322,747.20 = 65,404.80/x
  3. Step 3: Cross multiply
    215,164.80x = 322,747.20 × 65,404.80
  4. Step 4: Simplify right side
    215,164.80x = 21,109,216,066.56
  5. Step 5: Solve for x
    x = 21,109,216,066.56/215,164.80
  6. Step 6: Final answer
    x = 98,107.20

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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.