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Finding the Fourth Proportional to 159,013.08, 238,548.42 and 65,467.80

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Solution

The fourth proportional to 159,013.08, 238,548.42 and 65,467.80 is: 98,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,013.08 : 238,548.42 = 65,467.80 : x
  2. Step 2: Convert to fraction form
    159,013.08/238,548.42 = 65,467.80/x
  3. Step 3: Cross multiply
    159,013.08x = 238,548.42 × 65,467.80
  4. Step 4: Simplify right side
    159,013.08x = 15,617,240,250.88
  5. Step 5: Solve for x
    x = 15,617,240,250.88/159,013.08
  6. Step 6: Final answer
    x = 98,213.56

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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.