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Finding the Fourth Proportional to 192,042.20, 287,717.70 and 164,394.20

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Solution

The fourth proportional to 192,042.20, 287,717.70 and 164,394.20 is: 246,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,042.20 : 287,717.70 = 164,394.20 : x
  2. Step 2: Convert to fraction form
    192,042.20/287,717.70 = 164,394.20/x
  3. Step 3: Cross multiply
    192,042.20x = 287,717.70 × 164,394.20
  4. Step 4: Simplify right side
    192,042.20x = 47,299,121,117.34
  5. Step 5: Solve for x
    x = 47,299,121,117.34/192,042.20
  6. Step 6: Final answer
    x = 246,295.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.