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Finding the Fourth Proportional to 200,800.96, 277,109.02 and 110,161.56

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Solution

The fourth proportional to 200,800.96, 277,109.02 and 110,161.56 is: 152,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,800.96 : 277,109.02 = 110,161.56 : x
  2. Step 2: Convert to fraction form
    200,800.96/277,109.02 = 110,161.56/x
  3. Step 3: Cross multiply
    200,800.96x = 277,109.02 × 110,161.56
  4. Step 4: Simplify right side
    200,800.96x = 30,526,761,933.27
  5. Step 5: Solve for x
    x = 30,526,761,933.27/200,800.96
  6. Step 6: Final answer
    x = 152,024.98

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1.5x scale

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.