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Finding the Fourth Proportional to 177,812.80, 266,719.20 and 149,819.20

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Solution

The fourth proportional to 177,812.80, 266,719.20 and 149,819.20 is: 224,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812.80 : 266,719.20 = 149,819.20 : x
  2. Step 2: Convert to fraction form
    177,812.80/266,719.20 = 149,819.20/x
  3. Step 3: Cross multiply
    177,812.80x = 266,719.20 × 149,819.20
  4. Step 4: Simplify right side
    177,812.80x = 39,959,657,168.64
  5. Step 5: Solve for x
    x = 39,959,657,168.64/177,812.80
  6. Step 6: Final answer
    x = 224,728.80

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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.