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Finding the Fourth Proportional to 146,736.40, 220,104.60 and 109,411.60

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Solution

The fourth proportional to 146,736.40, 220,104.60 and 109,411.60 is: 164,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,736.40 : 220,104.60 = 109,411.60 : x
  2. Step 2: Convert to fraction form
    146,736.40/220,104.60 = 109,411.60/x
  3. Step 3: Cross multiply
    146,736.40x = 220,104.60 × 109,411.60
  4. Step 4: Simplify right side
    146,736.40x = 24,081,996,453.36
  5. Step 5: Solve for x
    x = 24,081,996,453.36/146,736.40
  6. Step 6: Final answer
    x = 164,117.40

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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.