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Finding the Fourth Proportional to 146,735.64, 220,074.30 and 71,823.60

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Solution

The fourth proportional to 146,735.64, 220,074.30 and 71,823.60 is: 107,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,735.64 : 220,074.30 = 71,823.60 : x
  2. Step 2: Convert to fraction form
    146,735.64/220,074.30 = 71,823.60/x
  3. Step 3: Cross multiply
    146,735.64x = 220,074.30 × 71,823.60
  4. Step 4: Simplify right side
    146,735.64x = 15,806,528,493.48
  5. Step 5: Solve for x
    x = 15,806,528,493.48/146,735.64
  6. Step 6: Final answer
    x = 107,721.13

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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.