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Finding the Fourth Proportional to 206,600.14, 309,921.80 and 73,492.66

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Solution

The fourth proportional to 206,600.14, 309,921.80 and 73,492.66 is: 110,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600.14 : 309,921.80 = 73,492.66 : x
  2. Step 2: Convert to fraction form
    206,600.14/309,921.80 = 73,492.66/x
  3. Step 3: Cross multiply
    206,600.14x = 309,921.80 × 73,492.66
  4. Step 4: Simplify right side
    206,600.14x = 22,776,976,108.11
  5. Step 5: Solve for x
    x = 22,776,976,108.11/206,600.14
  6. Step 6: Final answer
    x = 110,246.67

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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.