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Finding the Fourth Proportional to 115,562.12, 173,201.40 and 65,684

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Solution

The fourth proportional to 115,562.12, 173,201.40 and 65,684 is: 98,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,562.12 : 173,201.40 = 65,684 : x
  2. Step 2: Convert to fraction form
    115,562.12/173,201.40 = 65,684/x
  3. Step 3: Cross multiply
    115,562.12x = 173,201.40 × 65,684
  4. Step 4: Simplify right side
    115,562.12x = 11,376,560,757.60
  5. Step 5: Solve for x
    x = 11,376,560,757.60/115,562.12
  6. Step 6: Final answer
    x = 98,445.41

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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.