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Finding the Fourth Proportional to 254,094.96, 381,179.34 and 135,701.67

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Solution

The fourth proportional to 254,094.96, 381,179.34 and 135,701.67 is: 203,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,094.96 : 381,179.34 = 135,701.67 : x
  2. Step 2: Convert to fraction form
    254,094.96/381,179.34 = 135,701.67/x
  3. Step 3: Cross multiply
    254,094.96x = 381,179.34 × 135,701.67
  4. Step 4: Simplify right side
    254,094.96x = 51,726,673,007.50
  5. Step 5: Solve for x
    x = 51,726,673,007.50/254,094.96
  6. Step 6: Final answer
    x = 203,572.21

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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.