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Finding the Fourth Proportional to 219,761.92, 303,271.62 and 119,159.92

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Solution

The fourth proportional to 219,761.92, 303,271.62 and 119,159.92 is: 164,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,761.92 : 303,271.62 = 119,159.92 : x
  2. Step 2: Convert to fraction form
    219,761.92/303,271.62 = 119,159.92/x
  3. Step 3: Cross multiply
    219,761.92x = 303,271.62 × 119,159.92
  4. Step 4: Simplify right side
    219,761.92x = 36,137,821,977.47
  5. Step 5: Solve for x
    x = 36,137,821,977.47/219,761.92
  6. Step 6: Final answer
    x = 164,440.78

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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.