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Finding the Fourth Proportional to 222,240.98, 333,453.77 and 142,369

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Solution

The fourth proportional to 222,240.98, 333,453.77 and 142,369 is: 213,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,240.98 : 333,453.77 = 142,369 : x
  2. Step 2: Convert to fraction form
    222,240.98/333,453.77 = 142,369/x
  3. Step 3: Cross multiply
    222,240.98x = 333,453.77 × 142,369
  4. Step 4: Simplify right side
    222,240.98x = 47,473,479,781.13
  5. Step 5: Solve for x
    x = 47,473,479,781.13/222,240.98
  6. Step 6: Final answer
    x = 213,612.63

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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.