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Finding the Fourth Proportional to 202,238.72, 303,259.67 and 107,514.29

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Solution

The fourth proportional to 202,238.72, 303,259.67 and 107,514.29 is: 161,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.72 : 303,259.67 = 107,514.29 : x
  2. Step 2: Convert to fraction form
    202,238.72/303,259.67 = 107,514.29/x
  3. Step 3: Cross multiply
    202,238.72x = 303,259.67 × 107,514.29
  4. Step 4: Simplify right side
    202,238.72x = 32,604,747,325.99
  5. Step 5: Solve for x
    x = 32,604,747,325.99/202,238.72
  6. Step 6: Final answer
    x = 161,219.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.