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Finding the Fourth Proportional to 200,079.20, 276,133.12 and 115,212.80

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Solution

The fourth proportional to 200,079.20, 276,133.12 and 115,212.80 is: 159,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,079.20 : 276,133.12 = 115,212.80 : x
  2. Step 2: Convert to fraction form
    200,079.20/276,133.12 = 115,212.80/x
  3. Step 3: Cross multiply
    200,079.20x = 276,133.12 × 115,212.80
  4. Step 4: Simplify right side
    200,079.20x = 31,814,069,927.94
  5. Step 5: Solve for x
    x = 31,814,069,927.94/200,079.20
  6. Step 6: Final answer
    x = 159,007.38

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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.