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Finding the Fourth Proportional to 208,102.66, 287,182.17 and 112,610.38

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Solution

The fourth proportional to 208,102.66, 287,182.17 and 112,610.38 is: 155,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.66 : 287,182.17 = 112,610.38 : x
  2. Step 2: Convert to fraction form
    208,102.66/287,182.17 = 112,610.38/x
  3. Step 3: Cross multiply
    208,102.66x = 287,182.17 × 112,610.38
  4. Step 4: Simplify right side
    208,102.66x = 32,339,693,292.92
  5. Step 5: Solve for x
    x = 32,339,693,292.92/208,102.66
  6. Step 6: Final answer
    x = 155,402.59

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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.