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Finding the Fourth Proportional to 164,454.76, 226,947.44 and 92,835.40

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Solution

The fourth proportional to 164,454.76, 226,947.44 and 92,835.40 is: 128,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,454.76 : 226,947.44 = 92,835.40 : x
  2. Step 2: Convert to fraction form
    164,454.76/226,947.44 = 92,835.40/x
  3. Step 3: Cross multiply
    164,454.76x = 226,947.44 × 92,835.40
  4. Step 4: Simplify right side
    164,454.76x = 21,068,756,371.38
  5. Step 5: Solve for x
    x = 21,068,756,371.38/164,454.76
  6. Step 6: Final answer
    x = 128,112.78

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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.