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Finding the Fourth Proportional to 177,533.80, 266,300.70 and 149,540.20

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Solution

The fourth proportional to 177,533.80, 266,300.70 and 149,540.20 is: 224,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,533.80 : 266,300.70 = 149,540.20 : x
  2. Step 2: Convert to fraction form
    177,533.80/266,300.70 = 149,540.20/x
  3. Step 3: Cross multiply
    177,533.80x = 266,300.70 × 149,540.20
  4. Step 4: Simplify right side
    177,533.80x = 39,822,659,938.14
  5. Step 5: Solve for x
    x = 39,822,659,938.14/177,533.80
  6. Step 6: Final answer
    x = 224,310.30

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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.