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Finding the Fourth Proportional to 233,107.48, 321,739.28 and 148,207.96

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Solution

The fourth proportional to 233,107.48, 321,739.28 and 148,207.96 is: 204,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,107.48 : 321,739.28 = 148,207.96 : x
  2. Step 2: Convert to fraction form
    233,107.48/321,739.28 = 148,207.96/x
  3. Step 3: Cross multiply
    233,107.48x = 321,739.28 × 148,207.96
  4. Step 4: Simplify right side
    233,107.48x = 47,684,322,340.67
  5. Step 5: Solve for x
    x = 47,684,322,340.67/233,107.48
  6. Step 6: Final answer
    x = 204,559.38

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Why These Related Problems?

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