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Finding the Fourth Proportional to 193,122.72, 266,518.38 and 120,568.56

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Solution

The fourth proportional to 193,122.72, 266,518.38 and 120,568.56 is: 166,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,122.72 : 266,518.38 = 120,568.56 : x
  2. Step 2: Convert to fraction form
    193,122.72/266,518.38 = 120,568.56/x
  3. Step 3: Cross multiply
    193,122.72x = 266,518.38 × 120,568.56
  4. Step 4: Simplify right side
    193,122.72x = 32,133,737,290.13
  5. Step 5: Solve for x
    x = 32,133,737,290.13/193,122.72
  6. Step 6: Final answer
    x = 166,390.25

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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.