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Finding the Fourth Proportional to 204,037.55, 285,885.85 and 204,037.55

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Solution

The fourth proportional to 204,037.55, 285,885.85 and 204,037.55 is: 285,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037.55 : 285,885.85 = 204,037.55 : x
  2. Step 2: Convert to fraction form
    204,037.55/285,885.85 = 204,037.55/x
  3. Step 3: Cross multiply
    204,037.55x = 285,885.85 × 204,037.55
  4. Step 4: Simplify right side
    204,037.55x = 58,331,448,413.67
  5. Step 5: Solve for x
    x = 58,331,448,413.67/204,037.55
  6. Step 6: Final answer
    x = 285,885.85

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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.