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Finding the Fourth Proportional to 208,404.38, 287,610.18 and 117,758

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Solution

The fourth proportional to 208,404.38, 287,610.18 and 117,758 is: 162,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404.38 : 287,610.18 = 117,758 : x
  2. Step 2: Convert to fraction form
    208,404.38/287,610.18 = 117,758/x
  3. Step 3: Cross multiply
    208,404.38x = 287,610.18 × 117,758
  4. Step 4: Simplify right side
    208,404.38x = 33,868,399,576.44
  5. Step 5: Solve for x
    x = 33,868,399,576.44/208,404.38
  6. Step 6: Final answer
    x = 162,512.90

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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.