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Finding the Fourth Proportional to 195,761.80, 293,412.30 and 83,441.80

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Solution

The fourth proportional to 195,761.80, 293,412.30 and 83,441.80 is: 125,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,761.80 : 293,412.30 = 83,441.80 : x
  2. Step 2: Convert to fraction form
    195,761.80/293,412.30 = 83,441.80/x
  3. Step 3: Cross multiply
    195,761.80x = 293,412.30 × 83,441.80
  4. Step 4: Simplify right side
    195,761.80x = 24,482,850,454.14
  5. Step 5: Solve for x
    x = 24,482,850,454.14/195,761.80
  6. Step 6: Final answer
    x = 125,064.49

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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.