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Finding the Fourth Proportional to 200,767.52, 277,186.77 and 179,219.49

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Solution

The fourth proportional to 200,767.52, 277,186.77 and 179,219.49 is: 247,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.52 : 277,186.77 = 179,219.49 : x
  2. Step 2: Convert to fraction form
    200,767.52/277,186.77 = 179,219.49/x
  3. Step 3: Cross multiply
    200,767.52x = 277,186.77 × 179,219.49
  4. Step 4: Simplify right side
    200,767.52x = 49,677,271,554.15
  5. Step 5: Solve for x
    x = 49,677,271,554.15/200,767.52
  6. Step 6: Final answer
    x = 247,436.80

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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.