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Finding the Fourth Proportional to 205,388.16, 308,093.20 and 65,157.60

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Solution

The fourth proportional to 205,388.16, 308,093.20 and 65,157.60 is: 97,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,388.16 : 308,093.20 = 65,157.60 : x
  2. Step 2: Convert to fraction form
    205,388.16/308,093.20 = 65,157.60/x
  3. Step 3: Cross multiply
    205,388.16x = 308,093.20 × 65,157.60
  4. Step 4: Simplify right side
    205,388.16x = 20,074,613,488.32
  5. Step 5: Solve for x
    x = 20,074,613,488.32/205,388.16
  6. Step 6: Final answer
    x = 97,739.88

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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.