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Finding the Fourth Proportional to 256,006.20, 384,009.30 and 137,908.20

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Solution

The fourth proportional to 256,006.20, 384,009.30 and 137,908.20 is: 206,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.20 : 384,009.30 = 137,908.20 : x
  2. Step 2: Convert to fraction form
    256,006.20/384,009.30 = 137,908.20/x
  3. Step 3: Cross multiply
    256,006.20x = 384,009.30 × 137,908.20
  4. Step 4: Simplify right side
    256,006.20x = 52,958,031,346.26
  5. Step 5: Solve for x
    x = 52,958,031,346.26/256,006.20
  6. Step 6: Final answer
    x = 206,862.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.