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Finding the Fourth Proportional to 277,864.98, 416,815.83 and 109,372.02

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Solution

The fourth proportional to 277,864.98, 416,815.83 and 109,372.02 is: 164,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,864.98 : 416,815.83 = 109,372.02 : x
  2. Step 2: Convert to fraction form
    277,864.98/416,815.83 = 109,372.02/x
  3. Step 3: Cross multiply
    277,864.98x = 416,815.83 × 109,372.02
  4. Step 4: Simplify right side
    277,864.98x = 45,587,989,295.08
  5. Step 5: Solve for x
    x = 45,587,989,295.08/277,864.98
  6. Step 6: Final answer
    x = 164,065.26

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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.