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Finding the Fourth Proportional to 107,564.60, 161,346.90 and 82,195.40

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Solution

The fourth proportional to 107,564.60, 161,346.90 and 82,195.40 is: 123,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,564.60 : 161,346.90 = 82,195.40 : x
  2. Step 2: Convert to fraction form
    107,564.60/161,346.90 = 82,195.40/x
  3. Step 3: Cross multiply
    107,564.60x = 161,346.90 × 82,195.40
  4. Step 4: Simplify right side
    107,564.60x = 13,261,972,984.26
  5. Step 5: Solve for x
    x = 13,261,972,984.26/107,564.60
  6. Step 6: Final answer
    x = 123,293.10

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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.