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Finding the Fourth Proportional to 146,821.60, 220,232.40 and 53,394.40

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Solution

The fourth proportional to 146,821.60, 220,232.40 and 53,394.40 is: 80,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821.60 : 220,232.40 = 53,394.40 : x
  2. Step 2: Convert to fraction form
    146,821.60/220,232.40 = 53,394.40/x
  3. Step 3: Cross multiply
    146,821.60x = 220,232.40 × 53,394.40
  4. Step 4: Simplify right side
    146,821.60x = 11,759,176,858.56
  5. Step 5: Solve for x
    x = 11,759,176,858.56/146,821.60
  6. Step 6: Final answer
    x = 80,091.60

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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.