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Finding the Fourth Proportional to 121,195.44, 181,822.59 and 38,089.44

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Solution

The fourth proportional to 121,195.44, 181,822.59 and 38,089.44 is: 57,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,195.44 : 181,822.59 = 38,089.44 : x
  2. Step 2: Convert to fraction form
    121,195.44/181,822.59 = 38,089.44/x
  3. Step 3: Cross multiply
    121,195.44x = 181,822.59 × 38,089.44
  4. Step 4: Simplify right side
    121,195.44x = 6,925,520,632.45
  5. Step 5: Solve for x
    x = 6,925,520,632.45/121,195.44
  6. Step 6: Final answer
    x = 57,143.41

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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.