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Finding the Fourth Proportional to 208,251.38, 287,370.34 and 117,616.19

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Solution

The fourth proportional to 208,251.38, 287,370.34 and 117,616.19 is: 162,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.38 : 287,370.34 = 117,616.19 : x
  2. Step 2: Convert to fraction form
    208,251.38/287,370.34 = 117,616.19/x
  3. Step 3: Cross multiply
    208,251.38x = 287,370.34 × 117,616.19
  4. Step 4: Simplify right side
    208,251.38x = 33,799,402,778.91
  5. Step 5: Solve for x
    x = 33,799,402,778.91/208,251.38
  6. Step 6: Final answer
    x = 162,300.98

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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.