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Finding the Fourth Proportional to 168,809, 233,015 and 97,217.52

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Solution

The fourth proportional to 168,809, 233,015 and 97,217.52 is: 134,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,809 : 233,015 = 97,217.52 : x
  2. Step 2: Convert to fraction form
    168,809/233,015 = 97,217.52/x
  3. Step 3: Cross multiply
    168,809x = 233,015 × 97,217.52
  4. Step 4: Simplify right side
    168,809x = 22,653,140,422.80
  5. Step 5: Solve for x
    x = 22,653,140,422.80/168,809
  6. Step 6: Final answer
    x = 134,193.91

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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.