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Finding the Fourth Proportional to 159,811.08, 239,640.03 and 75,501.06

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Solution

The fourth proportional to 159,811.08, 239,640.03 and 75,501.06 is: 113,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,811.08 : 239,640.03 = 75,501.06 : x
  2. Step 2: Convert to fraction form
    159,811.08/239,640.03 = 75,501.06/x
  3. Step 3: Cross multiply
    159,811.08x = 239,640.03 × 75,501.06
  4. Step 4: Simplify right side
    159,811.08x = 18,093,076,283.43
  5. Step 5: Solve for x
    x = 18,093,076,283.43/159,811.08
  6. Step 6: Final answer
    x = 113,215.41

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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.