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Finding the Fourth Proportional to 109,548.60, 164,322.90 and 54,252.60

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Solution

The fourth proportional to 109,548.60, 164,322.90 and 54,252.60 is: 81,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,548.60 : 164,322.90 = 54,252.60 : x
  2. Step 2: Convert to fraction form
    109,548.60/164,322.90 = 54,252.60/x
  3. Step 3: Cross multiply
    109,548.60x = 164,322.90 × 54,252.60
  4. Step 4: Simplify right side
    109,548.60x = 8,914,944,564.54
  5. Step 5: Solve for x
    x = 8,914,944,564.54/109,548.60
  6. Step 6: Final answer
    x = 81,378.90

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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.