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Finding the Fourth Proportional to 200,764.52, 277,182.63 and 179,216.49

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Solution

The fourth proportional to 200,764.52, 277,182.63 and 179,216.49 is: 247,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764.52 : 277,182.63 = 179,216.49 : x
  2. Step 2: Convert to fraction form
    200,764.52/277,182.63 = 179,216.49/x
  3. Step 3: Cross multiply
    200,764.52x = 277,182.63 × 179,216.49
  4. Step 4: Simplify right side
    200,764.52x = 49,675,698,037.57
  5. Step 5: Solve for x
    x = 49,675,698,037.57/200,764.52
  6. Step 6: Final answer
    x = 247,432.66

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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.