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Finding the Fourth Proportional to 103,694.60, 155,657.10 and 64,296.20

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Solution

The fourth proportional to 103,694.60, 155,657.10 and 64,296.20 is: 96,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694.60 : 155,657.10 = 64,296.20 : x
  2. Step 2: Convert to fraction form
    103,694.60/155,657.10 = 64,296.20/x
  3. Step 3: Cross multiply
    103,694.60x = 155,657.10 × 64,296.20
  4. Step 4: Simplify right side
    103,694.60x = 10,008,160,033.02
  5. Step 5: Solve for x
    x = 10,008,160,033.02/103,694.60
  6. Step 6: Final answer
    x = 96,515.73

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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.