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Finding the Fourth Proportional to 165,164.40, 247,746.60 and 146,793.60

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Solution

The fourth proportional to 165,164.40, 247,746.60 and 146,793.60 is: 220,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.40 : 247,746.60 = 146,793.60 : x
  2. Step 2: Convert to fraction form
    165,164.40/247,746.60 = 146,793.60/x
  3. Step 3: Cross multiply
    165,164.40x = 247,746.60 × 146,793.60
  4. Step 4: Simplify right side
    165,164.40x = 36,367,615,301.76
  5. Step 5: Solve for x
    x = 36,367,615,301.76/165,164.40
  6. Step 6: Final answer
    x = 220,190.40

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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.