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Finding the Fourth Proportional to 230,515.20, 345,772.80 and 136,972.80

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Solution

The fourth proportional to 230,515.20, 345,772.80 and 136,972.80 is: 205,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515.20 : 345,772.80 = 136,972.80 : x
  2. Step 2: Convert to fraction form
    230,515.20/345,772.80 = 136,972.80/x
  3. Step 3: Cross multiply
    230,515.20x = 345,772.80 × 136,972.80
  4. Step 4: Simplify right side
    230,515.20x = 47,361,468,579.84
  5. Step 5: Solve for x
    x = 47,361,468,579.84/230,515.20
  6. Step 6: Final answer
    x = 205,459.20

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1.5x scale

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.