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Finding the Fourth Proportional to 205,441.20, 283,505.40 and 114,798.96

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Solution

The fourth proportional to 205,441.20, 283,505.40 and 114,798.96 is: 158,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,441.20 : 283,505.40 = 114,798.96 : x
  2. Step 2: Convert to fraction form
    205,441.20/283,505.40 = 114,798.96/x
  3. Step 3: Cross multiply
    205,441.20x = 283,505.40 × 114,798.96
  4. Step 4: Simplify right side
    205,441.20x = 32,546,125,074.38
  5. Step 5: Solve for x
    x = 32,546,125,074.38/205,441.20
  6. Step 6: Final answer
    x = 158,420.63

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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.