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Finding the Fourth Proportional to 277,541.60, 416,013.84 and 119,844.32

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Solution

The fourth proportional to 277,541.60, 416,013.84 and 119,844.32 is: 179,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,541.60 : 416,013.84 = 119,844.32 : x
  2. Step 2: Convert to fraction form
    277,541.60/416,013.84 = 119,844.32/x
  3. Step 3: Cross multiply
    277,541.60x = 416,013.84 × 119,844.32
  4. Step 4: Simplify right side
    277,541.60x = 49,856,895,765.39
  5. Step 5: Solve for x
    x = 49,856,895,765.39/277,541.60
  6. Step 6: Final answer
    x = 179,637.56

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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.