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Finding the Fourth Proportional to 205,235.88, 283,222.82 and 114,593.39

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Solution

The fourth proportional to 205,235.88, 283,222.82 and 114,593.39 is: 158,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.88 : 283,222.82 = 114,593.39 : x
  2. Step 2: Convert to fraction form
    205,235.88/283,222.82 = 114,593.39/x
  3. Step 3: Cross multiply
    205,235.88x = 283,222.82 × 114,593.39
  4. Step 4: Simplify right side
    205,235.88x = 32,455,463,069.16
  5. Step 5: Solve for x
    x = 32,455,463,069.16/205,235.88
  6. Step 6: Final answer
    x = 158,137.37

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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.