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Finding the Fourth Proportional to 206,037.37, 309,529.74 and 145,387.19

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Solution

The fourth proportional to 206,037.37, 309,529.74 and 145,387.19 is: 218,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037.37 : 309,529.74 = 145,387.19 : x
  2. Step 2: Convert to fraction form
    206,037.37/309,529.74 = 145,387.19/x
  3. Step 3: Cross multiply
    206,037.37x = 309,529.74 × 145,387.19
  4. Step 4: Simplify right side
    206,037.37x = 45,001,659,893.86
  5. Step 5: Solve for x
    x = 45,001,659,893.86/206,037.37
  6. Step 6: Final answer
    x = 218,415.04

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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.