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Finding the Fourth Proportional to 204,029.80, 285,875 and 204,029.80

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Solution

The fourth proportional to 204,029.80, 285,875 and 204,029.80 is: 285,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,029.80 : 285,875 = 204,029.80 : x
  2. Step 2: Convert to fraction form
    204,029.80/285,875 = 204,029.80/x
  3. Step 3: Cross multiply
    204,029.80x = 285,875 × 204,029.80
  4. Step 4: Simplify right side
    204,029.80x = 58,327,019,075
  5. Step 5: Solve for x
    x = 58,327,019,075/204,029.80
  6. Step 6: Final answer
    x = 285,875

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.