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Finding the Fourth Proportional to 277,380.54, 416,082.65 and 108,937.37

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Solution

The fourth proportional to 277,380.54, 416,082.65 and 108,937.37 is: 163,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,380.54 : 416,082.65 = 108,937.37 : x
  2. Step 2: Convert to fraction form
    277,380.54/416,082.65 = 108,937.37/x
  3. Step 3: Cross multiply
    277,380.54x = 416,082.65 × 108,937.37
  4. Step 4: Simplify right side
    277,380.54x = 45,326,949,593.63
  5. Step 5: Solve for x
    x = 45,326,949,593.63/277,380.54
  6. Step 6: Final answer
    x = 163,410.70

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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.