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Finding the Fourth Proportional to 120,906.64, 181,175.28 and 50,747.68

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Solution

The fourth proportional to 120,906.64, 181,175.28 and 50,747.68 is: 76,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906.64 : 181,175.28 = 50,747.68 : x
  2. Step 2: Convert to fraction form
    120,906.64/181,175.28 = 50,747.68/x
  3. Step 3: Cross multiply
    120,906.64x = 181,175.28 × 50,747.68
  4. Step 4: Simplify right side
    120,906.64x = 9,194,225,133.35
  5. Step 5: Solve for x
    x = 9,194,225,133.35/120,906.64
  6. Step 6: Final answer
    x = 76,044.00

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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.