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Finding the Fourth Proportional to 140,469.44, 193,850.88 and 83,870.24

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Solution

The fourth proportional to 140,469.44, 193,850.88 and 83,870.24 is: 115,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469.44 : 193,850.88 = 83,870.24 : x
  2. Step 2: Convert to fraction form
    140,469.44/193,850.88 = 83,870.24/x
  3. Step 3: Cross multiply
    140,469.44x = 193,850.88 × 83,870.24
  4. Step 4: Simplify right side
    140,469.44x = 16,258,319,829.81
  5. Step 5: Solve for x
    x = 16,258,319,829.81/140,469.44
  6. Step 6: Final answer
    x = 115,742.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.