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Finding the Fourth Proportional to 177,844.80, 266,767.20 and 157,627.20

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Solution

The fourth proportional to 177,844.80, 266,767.20 and 157,627.20 is: 236,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,844.80 : 266,767.20 = 157,627.20 : x
  2. Step 2: Convert to fraction form
    177,844.80/266,767.20 = 157,627.20/x
  3. Step 3: Cross multiply
    177,844.80x = 266,767.20 × 157,627.20
  4. Step 4: Simplify right side
    177,844.80x = 42,049,766,787.84
  5. Step 5: Solve for x
    x = 42,049,766,787.84/177,844.80
  6. Step 6: Final answer
    x = 236,440.80

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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.