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Finding the Fourth Proportional to 107,812.70, 161,747.85 and 96,206.30

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Solution

The fourth proportional to 107,812.70, 161,747.85 and 96,206.30 is: 144,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,812.70 : 161,747.85 = 96,206.30 : x
  2. Step 2: Convert to fraction form
    107,812.70/161,747.85 = 96,206.30/x
  3. Step 3: Cross multiply
    107,812.70x = 161,747.85 × 96,206.30
  4. Step 4: Simplify right side
    107,812.70x = 15,561,162,181.46
  5. Step 5: Solve for x
    x = 15,561,162,181.46/107,812.70
  6. Step 6: Final answer
    x = 144,335.15

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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.