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Finding the Fourth Proportional to 165,301.20, 247,951.80 and 106,203.60

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Solution

The fourth proportional to 165,301.20, 247,951.80 and 106,203.60 is: 159,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,301.20 : 247,951.80 = 106,203.60 : x
  2. Step 2: Convert to fraction form
    165,301.20/247,951.80 = 106,203.60/x
  3. Step 3: Cross multiply
    165,301.20x = 247,951.80 × 106,203.60
  4. Step 4: Simplify right side
    165,301.20x = 26,333,373,786.48
  5. Step 5: Solve for x
    x = 26,333,373,786.48/165,301.20
  6. Step 6: Final answer
    x = 159,305.40

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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.