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Finding the Fourth Proportional to 208,605.78, 312,932.70 and 75,548.70

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Solution

The fourth proportional to 208,605.78, 312,932.70 and 75,548.70 is: 113,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,605.78 : 312,932.70 = 75,548.70 : x
  2. Step 2: Convert to fraction form
    208,605.78/312,932.70 = 75,548.70/x
  3. Step 3: Cross multiply
    208,605.78x = 312,932.70 × 75,548.70
  4. Step 4: Simplify right side
    208,605.78x = 23,641,658,672.49
  5. Step 5: Solve for x
    x = 23,641,658,672.49/208,605.78
  6. Step 6: Final answer
    x = 113,331.75

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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.