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Finding the Fourth Proportional to 208,204.38, 287,311.10 and 122,151.38

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Solution

The fourth proportional to 208,204.38, 287,311.10 and 122,151.38 is: 168,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.38 : 287,311.10 = 122,151.38 : x
  2. Step 2: Convert to fraction form
    208,204.38/287,311.10 = 122,151.38/x
  3. Step 3: Cross multiply
    208,204.38x = 287,311.10 × 122,151.38
  4. Step 4: Simplify right side
    208,204.38x = 35,095,445,307.01
  5. Step 5: Solve for x
    x = 35,095,445,307.01/208,204.38
  6. Step 6: Final answer
    x = 168,562.47

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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.