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Finding the Fourth Proportional to 206,693.70, 309,967.65 and 73,578.30

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Solution

The fourth proportional to 206,693.70, 309,967.65 and 73,578.30 is: 110,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,693.70 : 309,967.65 = 73,578.30 : x
  2. Step 2: Convert to fraction form
    206,693.70/309,967.65 = 73,578.30/x
  3. Step 3: Cross multiply
    206,693.70x = 309,967.65 × 73,578.30
  4. Step 4: Simplify right side
    206,693.70x = 22,806,892,742.00
  5. Step 5: Solve for x
    x = 22,806,892,742.00/206,693.70
  6. Step 6: Final answer
    x = 110,341.50

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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.