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Finding the Fourth Proportional to 119,286.30, 164,573.90 and 73,947.66

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Solution

The fourth proportional to 119,286.30, 164,573.90 and 73,947.66 is: 102,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,286.30 : 164,573.90 = 73,947.66 : x
  2. Step 2: Convert to fraction form
    119,286.30/164,573.90 = 73,947.66/x
  3. Step 3: Cross multiply
    119,286.30x = 164,573.90 × 73,947.66
  4. Step 4: Simplify right side
    119,286.30x = 12,169,854,802.07
  5. Step 5: Solve for x
    x = 12,169,854,802.07/119,286.30
  6. Step 6: Final answer
    x = 102,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.