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Finding the Fourth Proportional to 177,672.24, 266,425.56 and 65,323.80

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Solution

The fourth proportional to 177,672.24, 266,425.56 and 65,323.80 is: 97,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,672.24 : 266,425.56 = 65,323.80 : x
  2. Step 2: Convert to fraction form
    177,672.24/266,425.56 = 65,323.80/x
  3. Step 3: Cross multiply
    177,672.24x = 266,425.56 × 65,323.80
  4. Step 4: Simplify right side
    177,672.24x = 17,403,929,996.33
  5. Step 5: Solve for x
    x = 17,403,929,996.33/177,672.24
  6. Step 6: Final answer
    x = 97,955.26

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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.