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Finding the Fourth Proportional to 277,754.32, 383,382.12 and 163,062.64

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Solution

The fourth proportional to 277,754.32, 383,382.12 and 163,062.64 is: 225,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,754.32 : 383,382.12 = 163,062.64 : x
  2. Step 2: Convert to fraction form
    277,754.32/383,382.12 = 163,062.64/x
  3. Step 3: Cross multiply
    277,754.32x = 383,382.12 × 163,062.64
  4. Step 4: Simplify right side
    277,754.32x = 62,515,300,616.00
  5. Step 5: Solve for x
    x = 62,515,300,616.00/277,754.32
  6. Step 6: Final answer
    x = 225,074.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.