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Finding the Fourth Proportional to 232,213.80, 347,859.90 and 133,602.60

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Solution

The fourth proportional to 232,213.80, 347,859.90 and 133,602.60 is: 200,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,213.80 : 347,859.90 = 133,602.60 : x
  2. Step 2: Convert to fraction form
    232,213.80/347,859.90 = 133,602.60/x
  3. Step 3: Cross multiply
    232,213.80x = 347,859.90 × 133,602.60
  4. Step 4: Simplify right side
    232,213.80x = 46,474,987,075.74
  5. Step 5: Solve for x
    x = 46,474,987,075.74/232,213.80
  6. Step 6: Final answer
    x = 200,138.78

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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.