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Finding the Fourth Proportional to 192,029.40, 287,828.10 and 92,237.40

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Solution

The fourth proportional to 192,029.40, 287,828.10 and 92,237.40 is: 138,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,029.40 : 287,828.10 = 92,237.40 : x
  2. Step 2: Convert to fraction form
    192,029.40/287,828.10 = 92,237.40/x
  3. Step 3: Cross multiply
    192,029.40x = 287,828.10 × 92,237.40
  4. Step 4: Simplify right side
    192,029.40x = 26,548,515,590.94
  5. Step 5: Solve for x
    x = 26,548,515,590.94/192,029.40
  6. Step 6: Final answer
    x = 138,252.35

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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.