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Finding the Fourth Proportional to 219,753, 303,260.76 and 119,151

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Solution

The fourth proportional to 219,753, 303,260.76 and 119,151 is: 164,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,753 : 303,260.76 = 119,151 : x
  2. Step 2: Convert to fraction form
    219,753/303,260.76 = 119,151/x
  3. Step 3: Cross multiply
    219,753x = 303,260.76 × 119,151
  4. Step 4: Simplify right side
    219,753x = 36,133,822,814.76
  5. Step 5: Solve for x
    x = 36,133,822,814.76/219,753
  6. Step 6: Final answer
    x = 164,429.26

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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.