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Finding the Fourth Proportional to 268,452.70, 402,681.47 and 81,464.20

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Solution

The fourth proportional to 268,452.70, 402,681.47 and 81,464.20 is: 122,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,452.70 : 402,681.47 = 81,464.20 : x
  2. Step 2: Convert to fraction form
    268,452.70/402,681.47 = 81,464.20/x
  3. Step 3: Cross multiply
    268,452.70x = 402,681.47 × 81,464.20
  4. Step 4: Simplify right side
    268,452.70x = 32,804,121,387.65
  5. Step 5: Solve for x
    x = 32,804,121,387.65/268,452.70
  6. Step 6: Final answer
    x = 122,197.03

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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.