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Finding the Fourth Proportional to 205,513.70, 308,270.55 and 189,767.30

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Solution

The fourth proportional to 205,513.70, 308,270.55 and 189,767.30 is: 284,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.70 : 308,270.55 = 189,767.30 : x
  2. Step 2: Convert to fraction form
    205,513.70/308,270.55 = 189,767.30/x
  3. Step 3: Cross multiply
    205,513.70x = 308,270.55 × 189,767.30
  4. Step 4: Simplify right side
    205,513.70x = 58,499,669,943.02
  5. Step 5: Solve for x
    x = 58,499,669,943.02/205,513.70
  6. Step 6: Final answer
    x = 284,650.95

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1.5x scale

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.