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Finding the Fourth Proportional to 202,810.20, 303,919.50 and 114,088.56

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Solution

The fourth proportional to 202,810.20, 303,919.50 and 114,088.56 is: 170,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,810.20 : 303,919.50 = 114,088.56 : x
  2. Step 2: Convert to fraction form
    202,810.20/303,919.50 = 114,088.56/x
  3. Step 3: Cross multiply
    202,810.20x = 303,919.50 × 114,088.56
  4. Step 4: Simplify right side
    202,810.20x = 34,673,738,110.92
  5. Step 5: Solve for x
    x = 34,673,738,110.92/202,810.20
  6. Step 6: Final answer
    x = 170,966.44

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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.