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Finding the Fourth Proportional to 225,565.27, 338,363.47 and 65,642.53

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Solution

The fourth proportional to 225,565.27, 338,363.47 and 65,642.53 is: 98,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,565.27 : 338,363.47 = 65,642.53 : x
  2. Step 2: Convert to fraction form
    225,565.27/338,363.47 = 65,642.53/x
  3. Step 3: Cross multiply
    225,565.27x = 338,363.47 × 65,642.53
  4. Step 4: Simplify right side
    225,565.27x = 22,211,033,717.44
  5. Step 5: Solve for x
    x = 22,211,033,717.44/225,565.27
  6. Step 6: Final answer
    x = 98,468.32

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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.