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Finding the Fourth Proportional to 159,322.70, 238,983.71 and 47,081.74

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Solution

The fourth proportional to 159,322.70, 238,983.71 and 47,081.74 is: 70,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.70 : 238,983.71 = 47,081.74 : x
  2. Step 2: Convert to fraction form
    159,322.70/238,983.71 = 47,081.74/x
  3. Step 3: Cross multiply
    159,322.70x = 238,983.71 × 47,081.74
  4. Step 4: Simplify right side
    159,322.70x = 11,251,768,898.46
  5. Step 5: Solve for x
    x = 11,251,768,898.46/159,322.70
  6. Step 6: Final answer
    x = 70,622.51

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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.