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Finding the Fourth Proportional to 168,649.90, 232,745.82 and 97,040.80

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Solution

The fourth proportional to 168,649.90, 232,745.82 and 97,040.80 is: 133,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,649.90 : 232,745.82 = 97,040.80 : x
  2. Step 2: Convert to fraction form
    168,649.90/232,745.82 = 97,040.80/x
  3. Step 3: Cross multiply
    168,649.90x = 232,745.82 × 97,040.80
  4. Step 4: Simplify right side
    168,649.90x = 22,585,840,569.46
  5. Step 5: Solve for x
    x = 22,585,840,569.46/168,649.90
  6. Step 6: Final answer
    x = 133,921.46

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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.