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Finding the Fourth Proportional to 240,524.80, 360,916.80 and 100,297.60

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Solution

The fourth proportional to 240,524.80, 360,916.80 and 100,297.60 is: 150,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,524.80 : 360,916.80 = 100,297.60 : x
  2. Step 2: Convert to fraction form
    240,524.80/360,916.80 = 100,297.60/x
  3. Step 3: Cross multiply
    240,524.80x = 360,916.80 × 100,297.60
  4. Step 4: Simplify right side
    240,524.80x = 36,199,088,839.68
  5. Step 5: Solve for x
    x = 36,199,088,839.68/240,524.80
  6. Step 6: Final answer
    x = 150,500.44

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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.