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Finding the Fourth Proportional to 158,797, 238,195.50 and 47,989

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Solution

The fourth proportional to 158,797, 238,195.50 and 47,989 is: 71,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,797 : 238,195.50 = 47,989 : x
  2. Step 2: Convert to fraction form
    158,797/238,195.50 = 47,989/x
  3. Step 3: Cross multiply
    158,797x = 238,195.50 × 47,989
  4. Step 4: Simplify right side
    158,797x = 11,430,763,849.50
  5. Step 5: Solve for x
    x = 11,430,763,849.50/158,797
  6. Step 6: Final answer
    x = 71,983.50

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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.