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Finding the Fourth Proportional to 208,301.34, 312,452.48 and 75,275.56

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Solution

The fourth proportional to 208,301.34, 312,452.48 and 75,275.56 is: 112,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.34 : 312,452.48 = 75,275.56 : x
  2. Step 2: Convert to fraction form
    208,301.34/312,452.48 = 75,275.56/x
  3. Step 3: Cross multiply
    208,301.34x = 312,452.48 × 75,275.56
  4. Step 4: Simplify right side
    208,301.34x = 23,520,035,405.39
  5. Step 5: Solve for x
    x = 23,520,035,405.39/208,301.34
  6. Step 6: Final answer
    x = 112,913.51

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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.