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Finding the Fourth Proportional to 181,282.48, 271,962.60 and 76,040.80

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Solution

The fourth proportional to 181,282.48, 271,962.60 and 76,040.80 is: 114,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,282.48 : 271,962.60 = 76,040.80 : x
  2. Step 2: Convert to fraction form
    181,282.48/271,962.60 = 76,040.80/x
  3. Step 3: Cross multiply
    181,282.48x = 271,962.60 × 76,040.80
  4. Step 4: Simplify right side
    181,282.48x = 20,680,253,674.08
  5. Step 5: Solve for x
    x = 20,680,253,674.08/181,282.48
  6. Step 6: Final answer
    x = 114,077.51

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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.