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Finding the Fourth Proportional to 252,406.96, 348,321.92 and 144,997.84

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Solution

The fourth proportional to 252,406.96, 348,321.92 and 144,997.84 is: 200,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,406.96 : 348,321.92 = 144,997.84 : x
  2. Step 2: Convert to fraction form
    252,406.96/348,321.92 = 144,997.84/x
  3. Step 3: Cross multiply
    252,406.96x = 348,321.92 × 144,997.84
  4. Step 4: Simplify right side
    252,406.96x = 50,505,926,024.65
  5. Step 5: Solve for x
    x = 50,505,926,024.65/252,406.96
  6. Step 6: Final answer
    x = 200,097.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.