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Finding the Fourth Proportional to 205,235.86, 283,222.54 and 114,593.24

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Solution

The fourth proportional to 205,235.86, 283,222.54 and 114,593.24 is: 158,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.86 : 283,222.54 = 114,593.24 : x
  2. Step 2: Convert to fraction form
    205,235.86/283,222.54 = 114,593.24/x
  3. Step 3: Cross multiply
    205,235.86x = 283,222.54 × 114,593.24
  4. Step 4: Simplify right side
    205,235.86x = 32,455,388,499.63
  5. Step 5: Solve for x
    x = 32,455,388,499.63/205,235.86
  6. Step 6: Final answer
    x = 158,137.03

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