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Finding the Fourth Proportional to 194,536.80, 291,805.20 and 83,728.80

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Solution

The fourth proportional to 194,536.80, 291,805.20 and 83,728.80 is: 125,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,536.80 : 291,805.20 = 83,728.80 : x
  2. Step 2: Convert to fraction form
    194,536.80/291,805.20 = 83,728.80/x
  3. Step 3: Cross multiply
    194,536.80x = 291,805.20 × 83,728.80
  4. Step 4: Simplify right side
    194,536.80x = 24,432,499,229.76
  5. Step 5: Solve for x
    x = 24,432,499,229.76/194,536.80
  6. Step 6: Final answer
    x = 125,593.20

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1.5x scale

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.