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Finding the Fourth Proportional to 107,912.10, 161,868.15 and 83,000.10

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Solution

The fourth proportional to 107,912.10, 161,868.15 and 83,000.10 is: 124,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912.10 : 161,868.15 = 83,000.10 : x
  2. Step 2: Convert to fraction form
    107,912.10/161,868.15 = 83,000.10/x
  3. Step 3: Cross multiply
    107,912.10x = 161,868.15 × 83,000.10
  4. Step 4: Simplify right side
    107,912.10x = 13,435,072,636.82
  5. Step 5: Solve for x
    x = 13,435,072,636.82/107,912.10
  6. Step 6: Final answer
    x = 124,500.15

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Similar ratio
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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.