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Finding the Fourth Proportional to 192,409.56, 287,205.34 and 169,684.36

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Solution

The fourth proportional to 192,409.56, 287,205.34 and 169,684.36 is: 253,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,409.56 : 287,205.34 = 169,684.36 : x
  2. Step 2: Convert to fraction form
    192,409.56/287,205.34 = 169,684.36/x
  3. Step 3: Cross multiply
    192,409.56x = 287,205.34 × 169,684.36
  4. Step 4: Simplify right side
    192,409.56x = 48,734,254,306.48
  5. Step 5: Solve for x
    x = 48,734,254,306.48/192,409.56
  6. Step 6: Final answer
    x = 253,283.95

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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.