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Finding the Fourth Proportional to 192,594.35, 288,654.90 and 108,177.06

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Solution

The fourth proportional to 192,594.35, 288,654.90 and 108,177.06 is: 162,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,594.35 : 288,654.90 = 108,177.06 : x
  2. Step 2: Convert to fraction form
    192,594.35/288,654.90 = 108,177.06/x
  3. Step 3: Cross multiply
    192,594.35x = 288,654.90 × 108,177.06
  4. Step 4: Simplify right side
    192,594.35x = 31,225,837,844.40
  5. Step 5: Solve for x
    x = 31,225,837,844.40/192,594.35
  6. Step 6: Final answer
    x = 162,132.68

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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.