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Finding the Fourth Proportional to 159,029.51, 238,366.49 and 68,968.24

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Solution

The fourth proportional to 159,029.51, 238,366.49 and 68,968.24 is: 103,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.51 : 238,366.49 = 68,968.24 : x
  2. Step 2: Convert to fraction form
    159,029.51/238,366.49 = 68,968.24/x
  3. Step 3: Cross multiply
    159,029.51x = 238,366.49 × 68,968.24
  4. Step 4: Simplify right side
    159,029.51x = 16,439,716,349.52
  5. Step 5: Solve for x
    x = 16,439,716,349.52/159,029.51
  6. Step 6: Final answer
    x = 103,375.26

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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.