Home / 205,170.30-283,182.24-120,314.70

Finding the Fourth Proportional to 205,170.30, 283,182.24 and 120,314.70

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Solution

The fourth proportional to 205,170.30, 283,182.24 and 120,314.70 is: 166,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170.30 : 283,182.24 = 120,314.70 : x
  2. Step 2: Convert to fraction form
    205,170.30/283,182.24 = 120,314.70/x
  3. Step 3: Cross multiply
    205,170.30x = 283,182.24 × 120,314.70
  4. Step 4: Simplify right side
    205,170.30x = 34,070,986,250.93
  5. Step 5: Solve for x
    x = 34,070,986,250.93/205,170.30
  6. Step 6: Final answer
    x = 166,061.98

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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.