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Finding the Fourth Proportional to 107,468.38, 161,202.00 and 27,506.20

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Solution

The fourth proportional to 107,468.38, 161,202.00 and 27,506.20 is: 41,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468.38 : 161,202.00 = 27,506.20 : x
  2. Step 2: Convert to fraction form
    107,468.38/161,202.00 = 27,506.20/x
  3. Step 3: Cross multiply
    107,468.38x = 161,202.00 × 27,506.20
  4. Step 4: Simplify right side
    107,468.38x = 4,434,053,794.07
  5. Step 5: Solve for x
    x = 4,434,053,794.07/107,468.38
  6. Step 6: Final answer
    x = 41,259.15

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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.