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Finding the Fourth Proportional to 200,869.82, 277,191.02 and 110,223.52

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Solution

The fourth proportional to 200,869.82, 277,191.02 and 110,223.52 is: 152,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869.82 : 277,191.02 = 110,223.52 : x
  2. Step 2: Convert to fraction form
    200,869.82/277,191.02 = 110,223.52/x
  3. Step 3: Cross multiply
    200,869.82x = 277,191.02 × 110,223.52
  4. Step 4: Simplify right side
    200,869.82x = 30,552,969,936.79
  5. Step 5: Solve for x
    x = 30,552,969,936.79/200,869.82
  6. Step 6: Final answer
    x = 152,103.34

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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.