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Finding the Fourth Proportional to 208,178.46, 287,425.02 and 140,296.38

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Solution

The fourth proportional to 208,178.46, 287,425.02 and 140,296.38 is: 193,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.46 : 287,425.02 = 140,296.38 : x
  2. Step 2: Convert to fraction form
    208,178.46/287,425.02 = 140,296.38/x
  3. Step 3: Cross multiply
    208,178.46x = 287,425.02 × 140,296.38
  4. Step 4: Simplify right side
    208,178.46x = 40,324,689,827.43
  5. Step 5: Solve for x
    x = 40,324,689,827.43/208,178.46
  6. Step 6: Final answer
    x = 193,702.51

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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.