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Finding the Fourth Proportional to 263,214.54, 363,280.73 and 148,525.70

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Solution

The fourth proportional to 263,214.54, 363,280.73 and 148,525.70 is: 204,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,214.54 : 363,280.73 = 148,525.70 : x
  2. Step 2: Convert to fraction form
    263,214.54/363,280.73 = 148,525.70/x
  3. Step 3: Cross multiply
    263,214.54x = 363,280.73 × 148,525.70
  4. Step 4: Simplify right side
    263,214.54x = 53,956,522,160.73
  5. Step 5: Solve for x
    x = 53,956,522,160.73/263,214.54
  6. Step 6: Final answer
    x = 204,990.66

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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.