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Finding the Fourth Proportional to 177,716.86, 266,591.99 and 65,399.22

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Solution

The fourth proportional to 177,716.86, 266,591.99 and 65,399.22 is: 98,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,716.86 : 266,591.99 = 65,399.22 : x
  2. Step 2: Convert to fraction form
    177,716.86/266,591.99 = 65,399.22/x
  3. Step 3: Cross multiply
    177,716.86x = 266,591.99 × 65,399.22
  4. Step 4: Simplify right side
    177,716.86x = 17,434,908,367.75
  5. Step 5: Solve for x
    x = 17,434,908,367.75/177,716.86
  6. Step 6: Final answer
    x = 98,104.98

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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.