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Finding the Fourth Proportional to 106,499.44, 146,994.80 and 64,049.76

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Solution

The fourth proportional to 106,499.44, 146,994.80 and 64,049.76 is: 88,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,499.44 : 146,994.80 = 64,049.76 : x
  2. Step 2: Convert to fraction form
    106,499.44/146,994.80 = 64,049.76/x
  3. Step 3: Cross multiply
    106,499.44x = 146,994.80 × 64,049.76
  4. Step 4: Simplify right side
    106,499.44x = 9,414,981,661.25
  5. Step 5: Solve for x
    x = 9,414,981,661.25/106,499.44
  6. Step 6: Final answer
    x = 88,404.05

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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.