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Finding the Fourth Proportional to 200,871, 277,201.20 and 110,228.48

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Solution

The fourth proportional to 200,871, 277,201.20 and 110,228.48 is: 152,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871 : 277,201.20 = 110,228.48 : x
  2. Step 2: Convert to fraction form
    200,871/277,201.20 = 110,228.48/x
  3. Step 3: Cross multiply
    200,871x = 277,201.20 × 110,228.48
  4. Step 4: Simplify right side
    200,871x = 30,555,465,544.17
  5. Step 5: Solve for x
    x = 30,555,465,544.17/200,871
  6. Step 6: Final answer
    x = 152,114.87

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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.