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Finding the Fourth Proportional to 192,979.20, 289,468.80 and 161,875.20

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Solution

The fourth proportional to 192,979.20, 289,468.80 and 161,875.20 is: 242,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,979.20 : 289,468.80 = 161,875.20 : x
  2. Step 2: Convert to fraction form
    192,979.20/289,468.80 = 161,875.20/x
  3. Step 3: Cross multiply
    192,979.20x = 289,468.80 × 161,875.20
  4. Step 4: Simplify right side
    192,979.20x = 46,857,819,893.76
  5. Step 5: Solve for x
    x = 46,857,819,893.76/192,979.20
  6. Step 6: Final answer
    x = 242,812.80

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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.