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Finding the Fourth Proportional to 205,356.48, 283,235.04 and 141,800.64

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Solution

The fourth proportional to 205,356.48, 283,235.04 and 141,800.64 is: 195,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,356.48 : 283,235.04 = 141,800.64 : x
  2. Step 2: Convert to fraction form
    205,356.48/283,235.04 = 141,800.64/x
  3. Step 3: Cross multiply
    205,356.48x = 283,235.04 × 141,800.64
  4. Step 4: Simplify right side
    205,356.48x = 40,162,909,942.43
  5. Step 5: Solve for x
    x = 40,162,909,942.43/205,356.48
  6. Step 6: Final answer
    x = 195,576.54

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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.