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Finding the Fourth Proportional to 275,111.46, 412,135.83 and 202,937.22

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Solution

The fourth proportional to 275,111.46, 412,135.83 and 202,937.22 is: 304,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.46 : 412,135.83 = 202,937.22 : x
  2. Step 2: Convert to fraction form
    275,111.46/412,135.83 = 202,937.22/x
  3. Step 3: Cross multiply
    275,111.46x = 412,135.83 × 202,937.22
  4. Step 4: Simplify right side
    275,111.46x = 83,637,699,602.59
  5. Step 5: Solve for x
    x = 83,637,699,602.59/275,111.46
  6. Step 6: Final answer
    x = 304,013.87

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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.