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Finding the Fourth Proportional to 109,770.16, 151,482.81 and 59,469.16

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Solution

The fourth proportional to 109,770.16, 151,482.81 and 59,469.16 is: 82,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.16 : 151,482.81 = 59,469.16 : x
  2. Step 2: Convert to fraction form
    109,770.16/151,482.81 = 59,469.16/x
  3. Step 3: Cross multiply
    109,770.16x = 151,482.81 × 59,469.16
  4. Step 4: Simplify right side
    109,770.16x = 9,008,555,465.14
  5. Step 5: Solve for x
    x = 9,008,555,465.14/109,770.16
  6. Step 6: Final answer
    x = 82,067.43

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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.