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Finding the Fourth Proportional to 177,832.91, 266,821.46 and 77,940.47

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Solution

The fourth proportional to 177,832.91, 266,821.46 and 77,940.47 is: 116,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,832.91 : 266,821.46 = 77,940.47 : x
  2. Step 2: Convert to fraction form
    177,832.91/266,821.46 = 77,940.47/x
  3. Step 3: Cross multiply
    177,832.91x = 266,821.46 × 77,940.47
  4. Step 4: Simplify right side
    177,832.91x = 20,796,189,998.49
  5. Step 5: Solve for x
    x = 20,796,189,998.49/177,832.91
  6. Step 6: Final answer
    x = 116,942.30

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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.