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Finding the Fourth Proportional to 115,959.60, 160,021.38 and 64,974.42

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Solution

The fourth proportional to 115,959.60, 160,021.38 and 64,974.42 is: 89,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,959.60 : 160,021.38 = 64,974.42 : x
  2. Step 2: Convert to fraction form
    115,959.60/160,021.38 = 64,974.42/x
  3. Step 3: Cross multiply
    115,959.60x = 160,021.38 × 64,974.42
  4. Step 4: Simplify right side
    115,959.60x = 10,397,296,353.10
  5. Step 5: Solve for x
    x = 10,397,296,353.10/115,959.60
  6. Step 6: Final answer
    x = 89,663.09

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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.