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Finding the Fourth Proportional to 254,824.92, 351,660.67 and 138,538.63

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Solution

The fourth proportional to 254,824.92, 351,660.67 and 138,538.63 is: 191,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,824.92 : 351,660.67 = 138,538.63 : x
  2. Step 2: Convert to fraction form
    254,824.92/351,660.67 = 138,538.63/x
  3. Step 3: Cross multiply
    254,824.92x = 351,660.67 × 138,538.63
  4. Step 4: Simplify right side
    254,824.92x = 48,718,587,446.68
  5. Step 5: Solve for x
    x = 48,718,587,446.68/254,824.92
  6. Step 6: Final answer
    x = 191,184.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.