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Finding the Fourth Proportional to 208,447.38, 287,656.41 and 112,954.14

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Solution

The fourth proportional to 208,447.38, 287,656.41 and 112,954.14 is: 155,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,447.38 : 287,656.41 = 112,954.14 : x
  2. Step 2: Convert to fraction form
    208,447.38/287,656.41 = 112,954.14/x
  3. Step 3: Cross multiply
    208,447.38x = 287,656.41 × 112,954.14
  4. Step 4: Simplify right side
    208,447.38x = 32,491,982,407.04
  5. Step 5: Solve for x
    x = 32,491,982,407.04/208,447.38
  6. Step 6: Final answer
    x = 155,876.19

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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.