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Finding the Fourth Proportional to 109,722.60, 164,583.90 and 54,426.60

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Solution

The fourth proportional to 109,722.60, 164,583.90 and 54,426.60 is: 81,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,722.60 : 164,583.90 = 54,426.60 : x
  2. Step 2: Convert to fraction form
    109,722.60/164,583.90 = 54,426.60/x
  3. Step 3: Cross multiply
    109,722.60x = 164,583.90 × 54,426.60
  4. Step 4: Simplify right side
    109,722.60x = 8,957,742,091.74
  5. Step 5: Solve for x
    x = 8,957,742,091.74/109,722.60
  6. Step 6: Final answer
    x = 81,639.90

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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.