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Finding the Fourth Proportional to 159,752.72, 239,896.44 and 153,395.60

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Solution

The fourth proportional to 159,752.72, 239,896.44 and 153,395.60 is: 230,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,752.72 : 239,896.44 = 153,395.60 : x
  2. Step 2: Convert to fraction form
    159,752.72/239,896.44 = 153,395.60/x
  3. Step 3: Cross multiply
    159,752.72x = 239,896.44 × 153,395.60
  4. Step 4: Simplify right side
    159,752.72x = 36,799,058,351.66
  5. Step 5: Solve for x
    x = 36,799,058,351.66/159,752.72
  6. Step 6: Final answer
    x = 230,350.12

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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.