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Finding the Fourth Proportional to 254,145.76, 381,342.84 and 179,744.02

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Solution

The fourth proportional to 254,145.76, 381,342.84 and 179,744.02 is: 269,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,145.76 : 381,342.84 = 179,744.02 : x
  2. Step 2: Convert to fraction form
    254,145.76/381,342.84 = 179,744.02/x
  3. Step 3: Cross multiply
    254,145.76x = 381,342.84 × 179,744.02
  4. Step 4: Simplify right side
    254,145.76x = 68,544,095,059.82
  5. Step 5: Solve for x
    x = 68,544,095,059.82/254,145.76
  6. Step 6: Final answer
    x = 269,703.87

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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.