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Finding the Fourth Proportional to 177,984.22, 266,969.42 and 65,615.84

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Solution

The fourth proportional to 177,984.22, 266,969.42 and 65,615.84 is: 98,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,984.22 : 266,969.42 = 65,615.84 : x
  2. Step 2: Convert to fraction form
    177,984.22/266,969.42 = 65,615.84/x
  3. Step 3: Cross multiply
    177,984.22x = 266,969.42 × 65,615.84
  4. Step 4: Simplify right side
    177,984.22x = 17,517,422,747.61
  5. Step 5: Solve for x
    x = 17,517,422,747.61/177,984.22
  6. Step 6: Final answer
    x = 98,421.21

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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.