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Finding the Fourth Proportional to 141,286.16, 194,893.80 and 88,202

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Solution

The fourth proportional to 141,286.16, 194,893.80 and 88,202 is: 121,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,286.16 : 194,893.80 = 88,202 : x
  2. Step 2: Convert to fraction form
    141,286.16/194,893.80 = 88,202/x
  3. Step 3: Cross multiply
    141,286.16x = 194,893.80 × 88,202
  4. Step 4: Simplify right side
    141,286.16x = 17,190,022,947.60
  5. Step 5: Solve for x
    x = 17,190,022,947.60/141,286.16
  6. Step 6: Final answer
    x = 121,668.13

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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.