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Finding the Fourth Proportional to 262,178.46, 361,836.99 and 149,018.22

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Solution

The fourth proportional to 262,178.46, 361,836.99 and 149,018.22 is: 205,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,178.46 : 361,836.99 = 149,018.22 : x
  2. Step 2: Convert to fraction form
    262,178.46/361,836.99 = 149,018.22/x
  3. Step 3: Cross multiply
    262,178.46x = 361,836.99 × 149,018.22
  4. Step 4: Simplify right side
    262,178.46x = 53,920,304,179.96
  5. Step 5: Solve for x
    x = 53,920,304,179.96/262,178.46
  6. Step 6: Final answer
    x = 205,662.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.