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Finding the Fourth Proportional to 203,502.40, 305,253.60 and 140,516.80

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Solution

The fourth proportional to 203,502.40, 305,253.60 and 140,516.80 is: 210,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,502.40 : 305,253.60 = 140,516.80 : x
  2. Step 2: Convert to fraction form
    203,502.40/305,253.60 = 140,516.80/x
  3. Step 3: Cross multiply
    203,502.40x = 305,253.60 × 140,516.80
  4. Step 4: Simplify right side
    203,502.40x = 42,893,259,060.48
  5. Step 5: Solve for x
    x = 42,893,259,060.48/203,502.40
  6. Step 6: Final answer
    x = 210,775.20

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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.