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Finding the Fourth Proportional to 254,856.35, 351,694.66 and 140,135.21

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Solution

The fourth proportional to 254,856.35, 351,694.66 and 140,135.21 is: 193,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,856.35 : 351,694.66 = 140,135.21 : x
  2. Step 2: Convert to fraction form
    254,856.35/351,694.66 = 140,135.21/x
  3. Step 3: Cross multiply
    254,856.35x = 351,694.66 × 140,135.21
  4. Step 4: Simplify right side
    254,856.35x = 49,284,806,486.06
  5. Step 5: Solve for x
    x = 49,284,806,486.06/254,856.35
  6. Step 6: Final answer
    x = 193,382.69

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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.