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Finding the Fourth Proportional to 109,409.60, 164,114.40 and 53,998.40

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Solution

The fourth proportional to 109,409.60, 164,114.40 and 53,998.40 is: 80,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.60 : 164,114.40 = 53,998.40 : x
  2. Step 2: Convert to fraction form
    109,409.60/164,114.40 = 53,998.40/x
  3. Step 3: Cross multiply
    109,409.60x = 164,114.40 × 53,998.40
  4. Step 4: Simplify right side
    109,409.60x = 8,861,915,016.96
  5. Step 5: Solve for x
    x = 8,861,915,016.96/109,409.60
  6. Step 6: Final answer
    x = 80,997.60

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1.5x scale

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.