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Finding the Fourth Proportional to 165,095.80, 247,629.30 and 54,287.80

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Solution

The fourth proportional to 165,095.80, 247,629.30 and 54,287.80 is: 81,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,095.80 : 247,629.30 = 54,287.80 : x
  2. Step 2: Convert to fraction form
    165,095.80/247,629.30 = 54,287.80/x
  3. Step 3: Cross multiply
    165,095.80x = 247,629.30 × 54,287.80
  4. Step 4: Simplify right side
    165,095.80x = 13,443,249,912.54
  5. Step 5: Solve for x
    x = 13,443,249,912.54/165,095.80
  6. Step 6: Final answer
    x = 81,426.96

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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.