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Finding the Fourth Proportional to 219,634.50, 303,097.44 and 119,032.50

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Solution

The fourth proportional to 219,634.50, 303,097.44 and 119,032.50 is: 164,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,634.50 : 303,097.44 = 119,032.50 : x
  2. Step 2: Convert to fraction form
    219,634.50/303,097.44 = 119,032.50/x
  3. Step 3: Cross multiply
    219,634.50x = 303,097.44 × 119,032.50
  4. Step 4: Simplify right side
    219,634.50x = 36,078,446,026.80
  5. Step 5: Solve for x
    x = 36,078,446,026.80/219,634.50
  6. Step 6: Final answer
    x = 164,265.84

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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.