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Finding the Fourth Proportional to 107,912.30, 161,868.45 and 97,414.70

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Solution

The fourth proportional to 107,912.30, 161,868.45 and 97,414.70 is: 146,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912.30 : 161,868.45 = 97,414.70 : x
  2. Step 2: Convert to fraction form
    107,912.30/161,868.45 = 97,414.70/x
  3. Step 3: Cross multiply
    107,912.30x = 161,868.45 × 97,414.70
  4. Step 4: Simplify right side
    107,912.30x = 15,768,366,496.22
  5. Step 5: Solve for x
    x = 15,768,366,496.22/107,912.30
  6. Step 6: Final answer
    x = 146,122.05

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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.