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Finding the Fourth Proportional to 205,644.77, 283,784.45 and 113,767.45

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Solution

The fourth proportional to 205,644.77, 283,784.45 and 113,767.45 is: 156,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,644.77 : 283,784.45 = 113,767.45 : x
  2. Step 2: Convert to fraction form
    205,644.77/283,784.45 = 113,767.45/x
  3. Step 3: Cross multiply
    205,644.77x = 283,784.45 × 113,767.45
  4. Step 4: Simplify right side
    205,644.77x = 32,285,433,226.15
  5. Step 5: Solve for x
    x = 32,285,433,226.15/205,644.77
  6. Step 6: Final answer
    x = 156,996.13

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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.