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Finding the Fourth Proportional to 203,407.14, 305,115.34 and 53,662.52

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Solution

The fourth proportional to 203,407.14, 305,115.34 and 53,662.52 is: 80,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,407.14 : 305,115.34 = 53,662.52 : x
  2. Step 2: Convert to fraction form
    203,407.14/305,115.34 = 53,662.52/x
  3. Step 3: Cross multiply
    203,407.14x = 305,115.34 × 53,662.52
  4. Step 4: Simplify right side
    203,407.14x = 16,373,258,035.06
  5. Step 5: Solve for x
    x = 16,373,258,035.06/203,407.14
  6. Step 6: Final answer
    x = 80,495.00

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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.