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Finding the Fourth Proportional to 158,689.68, 238,028.04 and 65,193

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Solution

The fourth proportional to 158,689.68, 238,028.04 and 65,193 is: 97,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,689.68 : 238,028.04 = 65,193 : x
  2. Step 2: Convert to fraction form
    158,689.68/238,028.04 = 65,193/x
  3. Step 3: Cross multiply
    158,689.68x = 238,028.04 × 65,193
  4. Step 4: Simplify right side
    158,689.68x = 15,517,762,011.72
  5. Step 5: Solve for x
    x = 15,517,762,011.72/158,689.68
  6. Step 6: Final answer
    x = 97,786.84

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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.