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Finding the Fourth Proportional to 208,311.98, 312,484.17 and 68,084.78

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Solution

The fourth proportional to 208,311.98, 312,484.17 and 68,084.78 is: 102,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.98 : 312,484.17 = 68,084.78 : x
  2. Step 2: Convert to fraction form
    208,311.98/312,484.17 = 68,084.78/x
  3. Step 3: Cross multiply
    208,311.98x = 312,484.17 × 68,084.78
  4. Step 4: Simplify right side
    208,311.98x = 21,275,417,004.46
  5. Step 5: Solve for x
    x = 21,275,417,004.46/208,311.98
  6. Step 6: Final answer
    x = 102,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.