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Finding the Fourth Proportional to 215,290.68, 322,949.22 and 65,542.08

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Solution

The fourth proportional to 215,290.68, 322,949.22 and 65,542.08 is: 98,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,290.68 : 322,949.22 = 65,542.08 : x
  2. Step 2: Convert to fraction form
    215,290.68/322,949.22 = 65,542.08/x
  3. Step 3: Cross multiply
    215,290.68x = 322,949.22 × 65,542.08
  4. Step 4: Simplify right side
    215,290.68x = 21,166,763,613.18
  5. Step 5: Solve for x
    x = 21,166,763,613.18/215,290.68
  6. Step 6: Final answer
    x = 98,317.14

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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.