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Finding the Fourth Proportional to 164,269.54, 246,406.11 and 51,947.02

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Solution

The fourth proportional to 164,269.54, 246,406.11 and 51,947.02 is: 77,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,269.54 : 246,406.11 = 51,947.02 : x
  2. Step 2: Convert to fraction form
    164,269.54/246,406.11 = 51,947.02/x
  3. Step 3: Cross multiply
    164,269.54x = 246,406.11 × 51,947.02
  4. Step 4: Simplify right side
    164,269.54x = 12,800,063,124.29
  5. Step 5: Solve for x
    x = 12,800,063,124.29/164,269.54
  6. Step 6: Final answer
    x = 77,921.10

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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.