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Finding the Fourth Proportional to 165,164.30, 247,747.90 and 65,324.50

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Solution

The fourth proportional to 165,164.30, 247,747.90 and 65,324.50 is: 97,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.30 : 247,747.90 = 65,324.50 : x
  2. Step 2: Convert to fraction form
    165,164.30/247,747.90 = 65,324.50/x
  3. Step 3: Cross multiply
    165,164.30x = 247,747.90 × 65,324.50
  4. Step 4: Simplify right side
    165,164.30x = 16,184,007,856.86
  5. Step 5: Solve for x
    x = 16,184,007,856.86/165,164.30
  6. Step 6: Final answer
    x = 97,987.33

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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.