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Finding the Fourth Proportional to 202,073.86, 303,022.87 and 57,947.94

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Solution

The fourth proportional to 202,073.86, 303,022.87 and 57,947.94 is: 86,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,073.86 : 303,022.87 = 57,947.94 : x
  2. Step 2: Convert to fraction form
    202,073.86/303,022.87 = 57,947.94/x
  3. Step 3: Cross multiply
    202,073.86x = 303,022.87 × 57,947.94
  4. Step 4: Simplify right side
    202,073.86x = 17,559,551,089.39
  5. Step 5: Solve for x
    x = 17,559,551,089.39/202,073.86
  6. Step 6: Final answer
    x = 86,896.70

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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.