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Finding the Fourth Proportional to 254,823.92, 351,659.29 and 138,537.63

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Solution

The fourth proportional to 254,823.92, 351,659.29 and 138,537.63 is: 191,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,823.92 : 351,659.29 = 138,537.63 : x
  2. Step 2: Convert to fraction form
    254,823.92/351,659.29 = 138,537.63/x
  3. Step 3: Cross multiply
    254,823.92x = 351,659.29 × 138,537.63
  4. Step 4: Simplify right side
    254,823.92x = 48,718,045,506.54
  5. Step 5: Solve for x
    x = 48,718,045,506.54/254,823.92
  6. Step 6: Final answer
    x = 191,183.17

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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.