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Finding the Fourth Proportional to 254,612.80, 381,919.20 and 166,039.30

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Solution

The fourth proportional to 254,612.80, 381,919.20 and 166,039.30 is: 249,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,612.80 : 381,919.20 = 166,039.30 : x
  2. Step 2: Convert to fraction form
    254,612.80/381,919.20 = 166,039.30/x
  3. Step 3: Cross multiply
    254,612.80x = 381,919.20 × 166,039.30
  4. Step 4: Simplify right side
    254,612.80x = 63,413,596,624.56
  5. Step 5: Solve for x
    x = 63,413,596,624.56/254,612.80
  6. Step 6: Final answer
    x = 249,058.95

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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.