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Finding the Fourth Proportional to 185,396.36, 277,880.34 and 85,346.78

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Solution

The fourth proportional to 185,396.36, 277,880.34 and 85,346.78 is: 127,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,396.36 : 277,880.34 = 85,346.78 : x
  2. Step 2: Convert to fraction form
    185,396.36/277,880.34 = 85,346.78/x
  3. Step 3: Cross multiply
    185,396.36x = 277,880.34 × 85,346.78
  4. Step 4: Simplify right side
    185,396.36x = 23,716,192,244.31
  5. Step 5: Solve for x
    x = 23,716,192,244.31/185,396.36
  6. Step 6: Final answer
    x = 127,921.56

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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.