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Finding the Fourth Proportional to 242,600.82, 362,195.38 and 185,375.22

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Solution

The fourth proportional to 242,600.82, 362,195.38 and 185,375.22 is: 276,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,600.82 : 362,195.38 = 185,375.22 : x
  2. Step 2: Convert to fraction form
    242,600.82/362,195.38 = 185,375.22/x
  3. Step 3: Cross multiply
    242,600.82x = 362,195.38 × 185,375.22
  4. Step 4: Simplify right side
    242,600.82x = 67,142,047,787.05
  5. Step 5: Solve for x
    x = 67,142,047,787.05/242,600.82
  6. Step 6: Final answer
    x = 276,759.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.