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Finding the Fourth Proportional to 279,767, 419,710.19 and 90,238.04

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Solution

The fourth proportional to 279,767, 419,710.19 and 90,238.04 is: 135,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,767 : 419,710.19 = 90,238.04 : x
  2. Step 2: Convert to fraction form
    279,767/419,710.19 = 90,238.04/x
  3. Step 3: Cross multiply
    279,767x = 419,710.19 × 90,238.04
  4. Step 4: Simplify right side
    279,767x = 37,873,824,913.63
  5. Step 5: Solve for x
    x = 37,873,824,913.63/279,767
  6. Step 6: Final answer
    x = 135,376.31

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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.