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Finding the Fourth Proportional to 177,753.66, 266,604.27 and 65,407.78

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Solution

The fourth proportional to 177,753.66, 266,604.27 and 65,407.78 is: 98,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,753.66 : 266,604.27 = 65,407.78 : x
  2. Step 2: Convert to fraction form
    177,753.66/266,604.27 = 65,407.78/x
  3. Step 3: Cross multiply
    177,753.66x = 266,604.27 × 65,407.78
  4. Step 4: Simplify right side
    177,753.66x = 17,437,993,439.22
  5. Step 5: Solve for x
    x = 17,437,993,439.22/177,753.66
  6. Step 6: Final answer
    x = 98,102.02

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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.