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Finding the Fourth Proportional to 205,245.60, 307,837.62 and 64,986

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Solution

The fourth proportional to 205,245.60, 307,837.62 and 64,986 is: 97,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,245.60 : 307,837.62 = 64,986 : x
  2. Step 2: Convert to fraction form
    205,245.60/307,837.62 = 64,986/x
  3. Step 3: Cross multiply
    205,245.60x = 307,837.62 × 64,986
  4. Step 4: Simplify right side
    205,245.60x = 20,005,135,573.32
  5. Step 5: Solve for x
    x = 20,005,135,573.32/205,245.60
  6. Step 6: Final answer
    x = 97,469.25

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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.