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Finding the Fourth Proportional to 203,857.20, 305,785.80 and 85,613.40

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Solution

The fourth proportional to 203,857.20, 305,785.80 and 85,613.40 is: 128,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.20 : 305,785.80 = 85,613.40 : x
  2. Step 2: Convert to fraction form
    203,857.20/305,785.80 = 85,613.40/x
  3. Step 3: Cross multiply
    203,857.20x = 305,785.80 × 85,613.40
  4. Step 4: Simplify right side
    203,857.20x = 26,179,362,009.72
  5. Step 5: Solve for x
    x = 26,179,362,009.72/203,857.20
  6. Step 6: Final answer
    x = 128,420.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.