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Finding the Fourth Proportional to 268,097.70, 402,146.37 and 68,418.15

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Solution

The fourth proportional to 268,097.70, 402,146.37 and 68,418.15 is: 102,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,097.70 : 402,146.37 = 68,418.15 : x
  2. Step 2: Convert to fraction form
    268,097.70/402,146.37 = 68,418.15/x
  3. Step 3: Cross multiply
    268,097.70x = 402,146.37 × 68,418.15
  4. Step 4: Simplify right side
    268,097.70x = 27,514,110,664.62
  5. Step 5: Solve for x
    x = 27,514,110,664.62/268,097.70
  6. Step 6: Final answer
    x = 102,627.18

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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.