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Finding the Fourth Proportional to 202,665.77, 303,834.68 and 84,425.93

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Solution

The fourth proportional to 202,665.77, 303,834.68 and 84,425.93 is: 126,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,665.77 : 303,834.68 = 84,425.93 : x
  2. Step 2: Convert to fraction form
    202,665.77/303,834.68 = 84,425.93/x
  3. Step 3: Cross multiply
    202,665.77x = 303,834.68 × 84,425.93
  4. Step 4: Simplify right side
    202,665.77x = 25,651,525,003.12
  5. Step 5: Solve for x
    x = 25,651,525,003.12/202,665.77
  6. Step 6: Final answer
    x = 126,570.58

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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.