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Finding the Fourth Proportional to 279,855.65, 386,200.92 and 158,997.14

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Solution

The fourth proportional to 279,855.65, 386,200.92 and 158,997.14 is: 219,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,855.65 : 386,200.92 = 158,997.14 : x
  2. Step 2: Convert to fraction form
    279,855.65/386,200.92 = 158,997.14/x
  3. Step 3: Cross multiply
    279,855.65x = 386,200.92 × 158,997.14
  4. Step 4: Simplify right side
    279,855.65x = 61,404,839,814.36
  5. Step 5: Solve for x
    x = 61,404,839,814.36/279,855.65
  6. Step 6: Final answer
    x = 219,416.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.