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Finding the Fourth Proportional to 107,209.33, 160,611.01 and 71,563.16

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Solution

The fourth proportional to 107,209.33, 160,611.01 and 71,563.16 is: 107,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.33 : 160,611.01 = 71,563.16 : x
  2. Step 2: Convert to fraction form
    107,209.33/160,611.01 = 71,563.16/x
  3. Step 3: Cross multiply
    107,209.33x = 160,611.01 × 71,563.16
  4. Step 4: Simplify right side
    107,209.33x = 11,493,831,629.01
  5. Step 5: Solve for x
    x = 11,493,831,629.01/107,209.33
  6. Step 6: Final answer
    x = 107,209.25

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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.