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Finding the Fourth Proportional to 164,282.54, 246,454.25 and 51,991.02

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Solution

The fourth proportional to 164,282.54, 246,454.25 and 51,991.02 is: 77,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,282.54 : 246,454.25 = 51,991.02 : x
  2. Step 2: Convert to fraction form
    164,282.54/246,454.25 = 51,991.02/x
  3. Step 3: Cross multiply
    164,282.54x = 246,454.25 × 51,991.02
  4. Step 4: Simplify right side
    164,282.54x = 12,813,407,580.88
  5. Step 5: Solve for x
    x = 12,813,407,580.88/164,282.54
  6. Step 6: Final answer
    x = 77,996.16

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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.