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Finding the Fourth Proportional to 206,472.84, 309,740.07 and 73,341.90

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Solution

The fourth proportional to 206,472.84, 309,740.07 and 73,341.90 is: 110,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472.84 : 309,740.07 = 73,341.90 : x
  2. Step 2: Convert to fraction form
    206,472.84/309,740.07 = 73,341.90/x
  3. Step 3: Cross multiply
    206,472.84x = 309,740.07 × 73,341.90
  4. Step 4: Simplify right side
    206,472.84x = 22,716,925,239.93
  5. Step 5: Solve for x
    x = 22,716,925,239.93/206,472.84
  6. Step 6: Final answer
    x = 110,023.79

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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.