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Finding the Fourth Proportional to 129,641.20, 194,461.80 and 80,968.30

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Solution

The fourth proportional to 129,641.20, 194,461.80 and 80,968.30 is: 121,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641.20 : 194,461.80 = 80,968.30 : x
  2. Step 2: Convert to fraction form
    129,641.20/194,461.80 = 80,968.30/x
  3. Step 3: Cross multiply
    129,641.20x = 194,461.80 × 80,968.30
  4. Step 4: Simplify right side
    129,641.20x = 15,745,241,360.94
  5. Step 5: Solve for x
    x = 15,745,241,360.94/129,641.20
  6. Step 6: Final answer
    x = 121,452.45

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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.