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Finding the Fourth Proportional to 200,795.96, 277,102.11 and 110,156.56

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Solution

The fourth proportional to 200,795.96, 277,102.11 and 110,156.56 is: 152,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,795.96 : 277,102.11 = 110,156.56 : x
  2. Step 2: Convert to fraction form
    200,795.96/277,102.11 = 110,156.56/x
  3. Step 3: Cross multiply
    200,795.96x = 277,102.11 × 110,156.56
  4. Step 4: Simplify right side
    200,795.96x = 30,524,615,206.34
  5. Step 5: Solve for x
    x = 30,524,615,206.34/200,795.96
  6. Step 6: Final answer
    x = 152,018.07

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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.