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Finding the Fourth Proportional to 206,817.14, 310,488.20 and 175,849.22

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Solution

The fourth proportional to 206,817.14, 310,488.20 and 175,849.22 is: 263,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.14 : 310,488.20 = 175,849.22 : x
  2. Step 2: Convert to fraction form
    206,817.14/310,488.20 = 175,849.22/x
  3. Step 3: Cross multiply
    206,817.14x = 310,488.20 × 175,849.22
  4. Step 4: Simplify right side
    206,817.14x = 54,599,105,357.52
  5. Step 5: Solve for x
    x = 54,599,105,357.52/206,817.14
  6. Step 6: Final answer
    x = 263,997.01

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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.