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Finding the Fourth Proportional to 202,313.80, 303,470.70 and 135,785.80

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Solution

The fourth proportional to 202,313.80, 303,470.70 and 135,785.80 is: 203,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,313.80 : 303,470.70 = 135,785.80 : x
  2. Step 2: Convert to fraction form
    202,313.80/303,470.70 = 135,785.80/x
  3. Step 3: Cross multiply
    202,313.80x = 303,470.70 × 135,785.80
  4. Step 4: Simplify right side
    202,313.80x = 41,207,011,776.06
  5. Step 5: Solve for x
    x = 41,207,011,776.06/202,313.80
  6. Step 6: Final answer
    x = 203,678.70

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