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Finding the Fourth Proportional to 192,414.52, 287,212.64 and 169,689.30

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Solution

The fourth proportional to 192,414.52, 287,212.64 and 169,689.30 is: 253,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414.52 : 287,212.64 = 169,689.30 : x
  2. Step 2: Convert to fraction form
    192,414.52/287,212.64 = 169,689.30/x
  3. Step 3: Cross multiply
    192,414.52x = 287,212.64 × 169,689.30
  4. Step 4: Simplify right side
    192,414.52x = 48,736,911,832.75
  5. Step 5: Solve for x
    x = 48,736,911,832.75/192,414.52
  6. Step 6: Final answer
    x = 253,291.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.