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Finding the Fourth Proportional to 213,794.66, 320,597.19 and 113,936.24

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Solution

The fourth proportional to 213,794.66, 320,597.19 and 113,936.24 is: 170,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.66 : 320,597.19 = 113,936.24 : x
  2. Step 2: Convert to fraction form
    213,794.66/320,597.19 = 113,936.24/x
  3. Step 3: Cross multiply
    213,794.66x = 320,597.19 × 113,936.24
  4. Step 4: Simplify right side
    213,794.66x = 36,527,638,383.17
  5. Step 5: Solve for x
    x = 36,527,638,383.17/213,794.66
  6. Step 6: Final answer
    x = 170,853.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.