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Finding the Fourth Proportional to 159,275.14, 238,912.46 and 109,203.44

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Solution

The fourth proportional to 159,275.14, 238,912.46 and 109,203.44 is: 163,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,275.14 : 238,912.46 = 109,203.44 : x
  2. Step 2: Convert to fraction form
    159,275.14/238,912.46 = 109,203.44/x
  3. Step 3: Cross multiply
    159,275.14x = 238,912.46 × 109,203.44
  4. Step 4: Simplify right side
    159,275.14x = 26,090,062,490.86
  5. Step 5: Solve for x
    x = 26,090,062,490.86/159,275.14
  6. Step 6: Final answer
    x = 163,804.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.