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Finding the Fourth Proportional to 115,194.82, 158,949.60 and 64,196.38

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Solution

The fourth proportional to 115,194.82, 158,949.60 and 64,196.38 is: 88,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194.82 : 158,949.60 = 64,196.38 : x
  2. Step 2: Convert to fraction form
    115,194.82/158,949.60 = 64,196.38/x
  3. Step 3: Cross multiply
    115,194.82x = 158,949.60 × 64,196.38
  4. Step 4: Simplify right side
    115,194.82x = 10,203,988,922.45
  5. Step 5: Solve for x
    x = 10,203,988,922.45/115,194.82
  6. Step 6: Final answer
    x = 88,580.28

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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.