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Finding the Fourth Proportional to 185,961.78, 278,942.64 and 61,302.78

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Solution

The fourth proportional to 185,961.78, 278,942.64 and 61,302.78 is: 91,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,961.78 : 278,942.64 = 61,302.78 : x
  2. Step 2: Convert to fraction form
    185,961.78/278,942.64 = 61,302.78/x
  3. Step 3: Cross multiply
    185,961.78x = 278,942.64 × 61,302.78
  4. Step 4: Simplify right side
    185,961.78x = 17,099,959,292.54
  5. Step 5: Solve for x
    x = 17,099,959,292.54/185,961.78
  6. Step 6: Final answer
    x = 91,954.16

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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.