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Finding the Fourth Proportional to 206,823.30, 310,234.95 and 154,335.30

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Solution

The fourth proportional to 206,823.30, 310,234.95 and 154,335.30 is: 231,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.30 : 310,234.95 = 154,335.30 : x
  2. Step 2: Convert to fraction form
    206,823.30/310,234.95 = 154,335.30/x
  3. Step 3: Cross multiply
    206,823.30x = 310,234.95 × 154,335.30
  4. Step 4: Simplify right side
    206,823.30x = 47,880,204,078.74
  5. Step 5: Solve for x
    x = 47,880,204,078.74/206,823.30
  6. Step 6: Final answer
    x = 231,502.95

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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.