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Finding the Fourth Proportional to 136,261.98, 204,334.65 and 47,489.22

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Solution

The fourth proportional to 136,261.98, 204,334.65 and 47,489.22 is: 71,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,261.98 : 204,334.65 = 47,489.22 : x
  2. Step 2: Convert to fraction form
    136,261.98/204,334.65 = 47,489.22/x
  3. Step 3: Cross multiply
    136,261.98x = 204,334.65 × 47,489.22
  4. Step 4: Simplify right side
    136,261.98x = 9,703,693,147.47
  5. Step 5: Solve for x
    x = 9,703,693,147.47/136,261.98
  6. Step 6: Final answer
    x = 71,213.50

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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.