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Finding the Fourth Proportional to 259,727.70, 389,603.70 and 82,248.60

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Solution

The fourth proportional to 259,727.70, 389,603.70 and 82,248.60 is: 123,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727.70 : 389,603.70 = 82,248.60 : x
  2. Step 2: Convert to fraction form
    259,727.70/389,603.70 = 82,248.60/x
  3. Step 3: Cross multiply
    259,727.70x = 389,603.70 × 82,248.60
  4. Step 4: Simplify right side
    259,727.70x = 32,044,358,879.82
  5. Step 5: Solve for x
    x = 32,044,358,879.82/259,727.70
  6. Step 6: Final answer
    x = 123,376.75

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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.