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Finding the Fourth Proportional to 202,581.12, 303,924.48 and 113,900.16

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Solution

The fourth proportional to 202,581.12, 303,924.48 and 113,900.16 is: 170,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581.12 : 303,924.48 = 113,900.16 : x
  2. Step 2: Convert to fraction form
    202,581.12/303,924.48 = 113,900.16/x
  3. Step 3: Cross multiply
    202,581.12x = 303,924.48 × 113,900.16
  4. Step 4: Simplify right side
    202,581.12x = 34,617,046,899.92
  5. Step 5: Solve for x
    x = 34,617,046,899.92/202,581.12
  6. Step 6: Final answer
    x = 170,879.93

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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.