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Finding the Fourth Proportional to 217,274.85, 325,912.28 and 146,772.45

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Solution

The fourth proportional to 217,274.85, 325,912.28 and 146,772.45 is: 220,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,274.85 : 325,912.28 = 146,772.45 : x
  2. Step 2: Convert to fraction form
    217,274.85/325,912.28 = 146,772.45/x
  3. Step 3: Cross multiply
    217,274.85x = 325,912.28 × 146,772.45
  4. Step 4: Simplify right side
    217,274.85x = 47,834,943,086.82
  5. Step 5: Solve for x
    x = 47,834,943,086.82/217,274.85
  6. Step 6: Final answer
    x = 220,158.68

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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.