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Finding the Fourth Proportional to 110,084.64, 165,013.92 and 43,497.60

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Solution

The fourth proportional to 110,084.64, 165,013.92 and 43,497.60 is: 65,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,084.64 : 165,013.92 = 43,497.60 : x
  2. Step 2: Convert to fraction form
    110,084.64/165,013.92 = 43,497.60/x
  3. Step 3: Cross multiply
    110,084.64x = 165,013.92 × 43,497.60
  4. Step 4: Simplify right side
    110,084.64x = 7,177,709,486.59
  5. Step 5: Solve for x
    x = 7,177,709,486.59/110,084.64
  6. Step 6: Final answer
    x = 65,201.73

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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.