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Finding the Fourth Proportional to 193,102.58, 266,481.89 and 108,219.64

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Solution

The fourth proportional to 193,102.58, 266,481.89 and 108,219.64 is: 149,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,102.58 : 266,481.89 = 108,219.64 : x
  2. Step 2: Convert to fraction form
    193,102.58/266,481.89 = 108,219.64/x
  3. Step 3: Cross multiply
    193,102.58x = 266,481.89 × 108,219.64
  4. Step 4: Simplify right side
    193,102.58x = 28,838,573,661.22
  5. Step 5: Solve for x
    x = 28,838,573,661.22/193,102.58
  6. Step 6: Final answer
    x = 149,343.29

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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.