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Finding the Fourth Proportional to 159,422.22, 238,969.31 and 70,717.50

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Solution

The fourth proportional to 159,422.22, 238,969.31 and 70,717.50 is: 106,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,422.22 : 238,969.31 = 70,717.50 : x
  2. Step 2: Convert to fraction form
    159,422.22/238,969.31 = 70,717.50/x
  3. Step 3: Cross multiply
    159,422.22x = 238,969.31 × 70,717.50
  4. Step 4: Simplify right side
    159,422.22x = 16,899,311,826.34
  5. Step 5: Solve for x
    x = 16,899,311,826.34/159,422.22
  6. Step 6: Final answer
    x = 106,003.49

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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.