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Finding the Fourth Proportional to 110,434.16, 165,735.16 and 80,929.04

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Solution

The fourth proportional to 110,434.16, 165,735.16 and 80,929.04 is: 121,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,434.16 : 165,735.16 = 80,929.04 : x
  2. Step 2: Convert to fraction form
    110,434.16/165,735.16 = 80,929.04/x
  3. Step 3: Cross multiply
    110,434.16x = 165,735.16 × 80,929.04
  4. Step 4: Simplify right side
    110,434.16x = 13,412,787,393.05
  5. Step 5: Solve for x
    x = 13,412,787,393.05/110,434.16
  6. Step 6: Final answer
    x = 121,455.06

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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.