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Finding the Fourth Proportional to 100,198.89, 138,368.13 and 64,450.96

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Solution

The fourth proportional to 100,198.89, 138,368.13 and 64,450.96 is: 89,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198.89 : 138,368.13 = 64,450.96 : x
  2. Step 2: Convert to fraction form
    100,198.89/138,368.13 = 64,450.96/x
  3. Step 3: Cross multiply
    100,198.89x = 138,368.13 × 64,450.96
  4. Step 4: Simplify right side
    100,198.89x = 8,917,958,811.90
  5. Step 5: Solve for x
    x = 8,917,958,811.90/100,198.89
  6. Step 6: Final answer
    x = 89,002.57

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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.