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Finding the Fourth Proportional to 165,903.10, 248,793.90 and 53,612.80

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Solution

The fourth proportional to 165,903.10, 248,793.90 and 53,612.80 is: 80,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903.10 : 248,793.90 = 53,612.80 : x
  2. Step 2: Convert to fraction form
    165,903.10/248,793.90 = 53,612.80/x
  3. Step 3: Cross multiply
    165,903.10x = 248,793.90 × 53,612.80
  4. Step 4: Simplify right side
    165,903.10x = 13,338,537,601.92
  5. Step 5: Solve for x
    x = 13,338,537,601.92/165,903.10
  6. Step 6: Final answer
    x = 80,399.57

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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.