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Finding the Fourth Proportional to 195,640.80, 293,570.55 and 83,301.90

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Solution

The fourth proportional to 195,640.80, 293,570.55 and 83,301.90 is: 124,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,640.80 : 293,570.55 = 83,301.90 : x
  2. Step 2: Convert to fraction form
    195,640.80/293,570.55 = 83,301.90/x
  3. Step 3: Cross multiply
    195,640.80x = 293,570.55 × 83,301.90
  4. Step 4: Simplify right side
    195,640.80x = 24,454,984,599.05
  5. Step 5: Solve for x
    x = 24,454,984,599.05/195,640.80
  6. Step 6: Final answer
    x = 124,999.41

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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.