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Finding the Fourth Proportional to 192,516.80, 288,772.80 and 87,262.40

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Solution

The fourth proportional to 192,516.80, 288,772.80 and 87,262.40 is: 130,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,516.80 : 288,772.80 = 87,262.40 : x
  2. Step 2: Convert to fraction form
    192,516.80/288,772.80 = 87,262.40/x
  3. Step 3: Cross multiply
    192,516.80x = 288,772.80 × 87,262.40
  4. Step 4: Simplify right side
    192,516.80x = 25,199,007,582.72
  5. Step 5: Solve for x
    x = 25,199,007,582.72/192,516.80
  6. Step 6: Final answer
    x = 130,892.51

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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.