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Finding the Fourth Proportional to 208,275.09, 312,348.06 and 75,138.06

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Solution

The fourth proportional to 208,275.09, 312,348.06 and 75,138.06 is: 112,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,275.09 : 312,348.06 = 75,138.06 : x
  2. Step 2: Convert to fraction form
    208,275.09/312,348.06 = 75,138.06/x
  3. Step 3: Cross multiply
    208,275.09x = 312,348.06 × 75,138.06
  4. Step 4: Simplify right side
    208,275.09x = 23,469,227,273.16
  5. Step 5: Solve for x
    x = 23,469,227,273.16/208,275.09
  6. Step 6: Final answer
    x = 112,683.79

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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.