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Finding the Fourth Proportional to 159,024, 238,535.36 and 123,989.44

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Solution

The fourth proportional to 159,024, 238,535.36 and 123,989.44 is: 185,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,024 : 238,535.36 = 123,989.44 : x
  2. Step 2: Convert to fraction form
    159,024/238,535.36 = 123,989.44/x
  3. Step 3: Cross multiply
    159,024x = 238,535.36 × 123,989.44
  4. Step 4: Simplify right side
    159,024x = 29,575,865,706.60
  5. Step 5: Solve for x
    x = 29,575,865,706.60/159,024
  6. Step 6: Final answer
    x = 185,983.66

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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.