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Finding the Fourth Proportional to 219,982.74, 303,574.41 and 119,380.74

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Solution

The fourth proportional to 219,982.74, 303,574.41 and 119,380.74 is: 164,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,982.74 : 303,574.41 = 119,380.74 : x
  2. Step 2: Convert to fraction form
    219,982.74/303,574.41 = 119,380.74/x
  3. Step 3: Cross multiply
    219,982.74x = 303,574.41 × 119,380.74
  4. Step 4: Simplify right side
    219,982.74x = 36,240,937,710.86
  5. Step 5: Solve for x
    x = 36,240,937,710.86/219,982.74
  6. Step 6: Final answer
    x = 164,744.46

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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.