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Finding the Fourth Proportional to 219,766.56, 303,276.24 and 119,163.84

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Solution

The fourth proportional to 219,766.56, 303,276.24 and 119,163.84 is: 164,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,766.56 : 303,276.24 = 119,163.84 : x
  2. Step 2: Convert to fraction form
    219,766.56/303,276.24 = 119,163.84/x
  3. Step 3: Cross multiply
    219,766.56x = 303,276.24 × 119,163.84
  4. Step 4: Simplify right side
    219,766.56x = 36,139,561,339.16
  5. Step 5: Solve for x
    x = 36,139,561,339.16/219,766.56
  6. Step 6: Final answer
    x = 164,445.22

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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.