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Finding the Fourth Proportional to 216,773.37, 299,227.50 and 163,213.74

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Solution

The fourth proportional to 216,773.37, 299,227.50 and 163,213.74 is: 225,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,773.37 : 299,227.50 = 163,213.74 : x
  2. Step 2: Convert to fraction form
    216,773.37/299,227.50 = 163,213.74/x
  3. Step 3: Cross multiply
    216,773.37x = 299,227.50 × 163,213.74
  4. Step 4: Simplify right side
    216,773.37x = 48,838,039,385.85
  5. Step 5: Solve for x
    x = 48,838,039,385.85/216,773.37
  6. Step 6: Final answer
    x = 225,295.38

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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.