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Finding the Fourth Proportional to 215,416.76, 323,120.52 and 57,645.20

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Solution

The fourth proportional to 215,416.76, 323,120.52 and 57,645.20 is: 86,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,416.76 : 323,120.52 = 57,645.20 : x
  2. Step 2: Convert to fraction form
    215,416.76/323,120.52 = 57,645.20/x
  3. Step 3: Cross multiply
    215,416.76x = 323,120.52 × 57,645.20
  4. Step 4: Simplify right side
    215,416.76x = 18,626,346,999.50
  5. Step 5: Solve for x
    x = 18,626,346,999.50/215,416.76
  6. Step 6: Final answer
    x = 86,466.56

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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.