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Finding the Fourth Proportional to 257,995.97, 386,844.96 and 100,039.89

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Solution

The fourth proportional to 257,995.97, 386,844.96 and 100,039.89 is: 150,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,995.97 : 386,844.96 = 100,039.89 : x
  2. Step 2: Convert to fraction form
    257,995.97/386,844.96 = 100,039.89/x
  3. Step 3: Cross multiply
    257,995.97x = 386,844.96 × 100,039.89
  4. Step 4: Simplify right side
    257,995.97x = 38,699,927,245.45
  5. Step 5: Solve for x
    x = 38,699,927,245.45/257,995.97
  6. Step 6: Final answer
    x = 150,002.06

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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.