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Finding the Fourth Proportional to 254,546.96, 381,818.25 and 102,741.71

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Solution

The fourth proportional to 254,546.96, 381,818.25 and 102,741.71 is: 154,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,546.96 : 381,818.25 = 102,741.71 : x
  2. Step 2: Convert to fraction form
    254,546.96/381,818.25 = 102,741.71/x
  3. Step 3: Cross multiply
    254,546.96x = 381,818.25 × 102,741.71
  4. Step 4: Simplify right side
    254,546.96x = 39,228,658,005.12
  5. Step 5: Solve for x
    x = 39,228,658,005.12/254,546.96
  6. Step 6: Final answer
    x = 154,111.68

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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.