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Finding the Fourth Proportional to 254,694.90, 381,604.95 and 165,902.70

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Solution

The fourth proportional to 254,694.90, 381,604.95 and 165,902.70 is: 248,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694.90 : 381,604.95 = 165,902.70 : x
  2. Step 2: Convert to fraction form
    254,694.90/381,604.95 = 165,902.70/x
  3. Step 3: Cross multiply
    254,694.90x = 381,604.95 × 165,902.70
  4. Step 4: Simplify right side
    254,694.90x = 63,309,291,538.37
  5. Step 5: Solve for x
    x = 63,309,291,538.37/254,694.90
  6. Step 6: Final answer
    x = 248,569.14

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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.