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Finding the Fourth Proportional to 203,475.60, 305,150.96 and 140,699.12

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Solution

The fourth proportional to 203,475.60, 305,150.96 and 140,699.12 is: 211,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,475.60 : 305,150.96 = 140,699.12 : x
  2. Step 2: Convert to fraction form
    203,475.60/305,150.96 = 140,699.12/x
  3. Step 3: Cross multiply
    203,475.60x = 305,150.96 × 140,699.12
  4. Step 4: Simplify right side
    203,475.60x = 42,934,471,539.16
  5. Step 5: Solve for x
    x = 42,934,471,539.16/203,475.60
  6. Step 6: Final answer
    x = 211,005.50

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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.