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Finding the Fourth Proportional to 205,737.80, 283,944.30 and 115,098.80

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Solution

The fourth proportional to 205,737.80, 283,944.30 and 115,098.80 is: 158,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.80 : 283,944.30 = 115,098.80 : x
  2. Step 2: Convert to fraction form
    205,737.80/283,944.30 = 115,098.80/x
  3. Step 3: Cross multiply
    205,737.80x = 283,944.30 × 115,098.80
  4. Step 4: Simplify right side
    205,737.80x = 32,681,648,196.84
  5. Step 5: Solve for x
    x = 32,681,648,196.84/205,737.80
  6. Step 6: Final answer
    x = 158,850.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.