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Finding the Fourth Proportional to 159,359.34, 238,983.30 and 47,009.74

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Solution

The fourth proportional to 159,359.34, 238,983.30 and 47,009.74 is: 70,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,359.34 : 238,983.30 = 47,009.74 : x
  2. Step 2: Convert to fraction form
    159,359.34/238,983.30 = 47,009.74/x
  3. Step 3: Cross multiply
    159,359.34x = 238,983.30 × 47,009.74
  4. Step 4: Simplify right side
    159,359.34x = 11,234,542,797.34
  5. Step 5: Solve for x
    x = 11,234,542,797.34/159,359.34
  6. Step 6: Final answer
    x = 70,498.18

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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.