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Finding the Fourth Proportional to 200,953, 277,328.10 and 111,529

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Solution

The fourth proportional to 200,953, 277,328.10 and 111,529 is: 153,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,953 : 277,328.10 = 111,529 : x
  2. Step 2: Convert to fraction form
    200,953/277,328.10 = 111,529/x
  3. Step 3: Cross multiply
    200,953x = 277,328.10 × 111,529
  4. Step 4: Simplify right side
    200,953x = 30,930,125,664.90
  5. Step 5: Solve for x
    x = 30,930,125,664.90/200,953
  6. Step 6: Final answer
    x = 153,917.21

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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.