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Finding the Fourth Proportional to 322,153.56, 482,964.26 and 142,110.61

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Solution

The fourth proportional to 322,153.56, 482,964.26 and 142,110.61 is: 213,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,153.56 : 482,964.26 = 142,110.61 : x
  2. Step 2: Convert to fraction form
    322,153.56/482,964.26 = 142,110.61/x
  3. Step 3: Cross multiply
    322,153.56x = 482,964.26 × 142,110.61
  4. Step 4: Simplify right side
    322,153.56x = 68,634,343,678.83
  5. Step 5: Solve for x
    x = 68,634,343,678.83/322,153.56
  6. Step 6: Final answer
    x = 213,048.53

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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.