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Finding the Fourth Proportional to 177,382.80, 266,074.20 and 161,053.20

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Solution

The fourth proportional to 177,382.80, 266,074.20 and 161,053.20 is: 241,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,382.80 : 266,074.20 = 161,053.20 : x
  2. Step 2: Convert to fraction form
    177,382.80/266,074.20 = 161,053.20/x
  3. Step 3: Cross multiply
    177,382.80x = 266,074.20 × 161,053.20
  4. Step 4: Simplify right side
    177,382.80x = 42,852,101,347.44
  5. Step 5: Solve for x
    x = 42,852,101,347.44/177,382.80
  6. Step 6: Final answer
    x = 241,579.80

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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.