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Finding the Fourth Proportional to 263,216.16, 363,282.96 and 148,527.32

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Solution

The fourth proportional to 263,216.16, 363,282.96 and 148,527.32 is: 204,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,216.16 : 363,282.96 = 148,527.32 : x
  2. Step 2: Convert to fraction form
    263,216.16/363,282.96 = 148,527.32/x
  3. Step 3: Cross multiply
    263,216.16x = 363,282.96 × 148,527.32
  4. Step 4: Simplify right side
    263,216.16x = 53,957,444,450.47
  5. Step 5: Solve for x
    x = 53,957,444,450.47/263,216.16
  6. Step 6: Final answer
    x = 204,992.90

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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.