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Finding the Fourth Proportional to 203,526.96, 305,228.20 and 140,750.52

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Solution

The fourth proportional to 203,526.96, 305,228.20 and 140,750.52 is: 211,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,526.96 : 305,228.20 = 140,750.52 : x
  2. Step 2: Convert to fraction form
    203,526.96/305,228.20 = 140,750.52/x
  3. Step 3: Cross multiply
    203,526.96x = 305,228.20 × 140,750.52
  4. Step 4: Simplify right side
    203,526.96x = 42,961,027,868.66
  5. Step 5: Solve for x
    x = 42,961,027,868.66/203,526.96
  6. Step 6: Final answer
    x = 211,082.74

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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.