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Finding the Fourth Proportional to 192,681.08, 288,976.24 and 108,477.80

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Solution

The fourth proportional to 192,681.08, 288,976.24 and 108,477.80 is: 162,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,681.08 : 288,976.24 = 108,477.80 : x
  2. Step 2: Convert to fraction form
    192,681.08/288,976.24 = 108,477.80/x
  3. Step 3: Cross multiply
    192,681.08x = 288,976.24 × 108,477.80
  4. Step 4: Simplify right side
    192,681.08x = 31,347,506,767.47
  5. Step 5: Solve for x
    x = 31,347,506,767.47/192,681.08
  6. Step 6: Final answer
    x = 162,691.15

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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.