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Finding the Fourth Proportional to 203,713.20, 305,598.60 and 63,457.20

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Solution

The fourth proportional to 203,713.20, 305,598.60 and 63,457.20 is: 95,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,713.20 : 305,598.60 = 63,457.20 : x
  2. Step 2: Convert to fraction form
    203,713.20/305,598.60 = 63,457.20/x
  3. Step 3: Cross multiply
    203,713.20x = 305,598.60 × 63,457.20
  4. Step 4: Simplify right side
    203,713.20x = 19,392,431,479.92
  5. Step 5: Solve for x
    x = 19,392,431,479.92/203,713.20
  6. Step 6: Final answer
    x = 95,194.77

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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.