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Finding the Fourth Proportional to 217,156.37, 325,654.50 and 74,965.46

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Solution

The fourth proportional to 217,156.37, 325,654.50 and 74,965.46 is: 112,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,156.37 : 325,654.50 = 74,965.46 : x
  2. Step 2: Convert to fraction form
    217,156.37/325,654.50 = 74,965.46/x
  3. Step 3: Cross multiply
    217,156.37x = 325,654.50 × 74,965.46
  4. Step 4: Simplify right side
    217,156.37x = 24,412,839,393.57
  5. Step 5: Solve for x
    x = 24,412,839,393.57/217,156.37
  6. Step 6: Final answer
    x = 112,420.55

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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.