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Finding the Fourth Proportional to 205,482.49, 283,563.62 and 113,601.38

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Solution

The fourth proportional to 205,482.49, 283,563.62 and 113,601.38 is: 156,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,482.49 : 283,563.62 = 113,601.38 : x
  2. Step 2: Convert to fraction form
    205,482.49/283,563.62 = 113,601.38/x
  3. Step 3: Cross multiply
    205,482.49x = 283,563.62 × 113,601.38
  4. Step 4: Simplify right side
    205,482.49x = 32,213,217,787.50
  5. Step 5: Solve for x
    x = 32,213,217,787.50/205,482.49
  6. Step 6: Final answer
    x = 156,768.68

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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.