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Finding the Fourth Proportional to 177,918.26, 266,640.46 and 65,494.61

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Solution

The fourth proportional to 177,918.26, 266,640.46 and 65,494.61 is: 98,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,918.26 : 266,640.46 = 65,494.61 : x
  2. Step 2: Convert to fraction form
    177,918.26/266,640.46 = 65,494.61/x
  3. Step 3: Cross multiply
    177,918.26x = 266,640.46 × 65,494.61
  4. Step 4: Simplify right side
    177,918.26x = 17,463,512,440.88
  5. Step 5: Solve for x
    x = 17,463,512,440.88/177,918.26
  6. Step 6: Final answer
    x = 98,154.70

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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.