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Finding the Fourth Proportional to 208,568, 312,064.68 and 129,311.12

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Solution

The fourth proportional to 208,568, 312,064.68 and 129,311.12 is: 193,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568 : 312,064.68 = 129,311.12 : x
  2. Step 2: Convert to fraction form
    208,568/312,064.68 = 129,311.12/x
  3. Step 3: Cross multiply
    208,568x = 312,064.68 × 129,311.12
  4. Step 4: Simplify right side
    208,568x = 40,353,433,283.24
  5. Step 5: Solve for x
    x = 40,353,433,283.24/208,568
  6. Step 6: Final answer
    x = 193,478.55

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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.