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Finding the Fourth Proportional to 268,097.60, 402,117.60 and 71,105.60

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Solution

The fourth proportional to 268,097.60, 402,117.60 and 71,105.60 is: 106,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,097.60 : 402,117.60 = 71,105.60 : x
  2. Step 2: Convert to fraction form
    268,097.60/402,117.60 = 71,105.60/x
  3. Step 3: Cross multiply
    268,097.60x = 402,117.60 × 71,105.60
  4. Step 4: Simplify right side
    268,097.60x = 28,592,813,218.56
  5. Step 5: Solve for x
    x = 28,592,813,218.56/268,097.60
  6. Step 6: Final answer
    x = 106,650.76

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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.