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Finding the Fourth Proportional to 119,974.64, 165,560.48 and 65,525

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Solution

The fourth proportional to 119,974.64, 165,560.48 and 65,525 is: 90,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,974.64 : 165,560.48 = 65,525 : x
  2. Step 2: Convert to fraction form
    119,974.64/165,560.48 = 65,525/x
  3. Step 3: Cross multiply
    119,974.64x = 165,560.48 × 65,525
  4. Step 4: Simplify right side
    119,974.64x = 10,848,350,452
  5. Step 5: Solve for x
    x = 10,848,350,452/119,974.64
  6. Step 6: Final answer
    x = 90,422.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.