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Finding the Fourth Proportional to 206,326.28, 309,578.51 and 111,623.17

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Solution

The fourth proportional to 206,326.28, 309,578.51 and 111,623.17 is: 167,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,326.28 : 309,578.51 = 111,623.17 : x
  2. Step 2: Convert to fraction form
    206,326.28/309,578.51 = 111,623.17/x
  3. Step 3: Cross multiply
    206,326.28x = 309,578.51 × 111,623.17
  4. Step 4: Simplify right side
    206,326.28x = 34,556,134,650.08
  5. Step 5: Solve for x
    x = 34,556,134,650.08/206,326.28
  6. Step 6: Final answer
    x = 167,482.95

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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.