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Finding the Fourth Proportional to 177,728.66, 266,566.70 and 65,382.60

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Solution

The fourth proportional to 177,728.66, 266,566.70 and 65,382.60 is: 98,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,728.66 : 266,566.70 = 65,382.60 : x
  2. Step 2: Convert to fraction form
    177,728.66/266,566.70 = 65,382.60/x
  3. Step 3: Cross multiply
    177,728.66x = 266,566.70 × 65,382.60
  4. Step 4: Simplify right side
    177,728.66x = 17,428,823,919.42
  5. Step 5: Solve for x
    x = 17,428,823,919.42/177,728.66
  6. Step 6: Final answer
    x = 98,064.23

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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.