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Finding the Fourth Proportional to 164,843.40, 227,419.50 and 107,550.12

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Solution

The fourth proportional to 164,843.40, 227,419.50 and 107,550.12 is: 148,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,843.40 : 227,419.50 = 107,550.12 : x
  2. Step 2: Convert to fraction form
    164,843.40/227,419.50 = 107,550.12/x
  3. Step 3: Cross multiply
    164,843.40x = 227,419.50 × 107,550.12
  4. Step 4: Simplify right side
    164,843.40x = 24,458,994,515.34
  5. Step 5: Solve for x
    x = 24,458,994,515.34/164,843.40
  6. Step 6: Final answer
    x = 148,377.15

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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.