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Finding the Fourth Proportional to 219,796, 303,318.48 and 119,194.24

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Solution

The fourth proportional to 219,796, 303,318.48 and 119,194.24 is: 164,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,796 : 303,318.48 = 119,194.24 : x
  2. Step 2: Convert to fraction form
    219,796/303,318.48 = 119,194.24/x
  3. Step 3: Cross multiply
    219,796x = 303,318.48 × 119,194.24
  4. Step 4: Simplify right side
    219,796x = 36,153,815,701.56
  5. Step 5: Solve for x
    x = 36,153,815,701.56/219,796
  6. Step 6: Final answer
    x = 164,488.05

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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.