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Finding the Fourth Proportional to 192,194.80, 287,903.40 and 133,097.20

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Solution

The fourth proportional to 192,194.80, 287,903.40 and 133,097.20 is: 199,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,194.80 : 287,903.40 = 133,097.20 : x
  2. Step 2: Convert to fraction form
    192,194.80/287,903.40 = 133,097.20/x
  3. Step 3: Cross multiply
    192,194.80x = 287,903.40 × 133,097.20
  4. Step 4: Simplify right side
    192,194.80x = 38,319,136,410.48
  5. Step 5: Solve for x
    x = 38,319,136,410.48/192,194.80
  6. Step 6: Final answer
    x = 199,376.55

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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.