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Finding the Fourth Proportional to 109,770.16, 151,482.98 and 59,469.16

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Solution

The fourth proportional to 109,770.16, 151,482.98 and 59,469.16 is: 82,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.16 : 151,482.98 = 59,469.16 : x
  2. Step 2: Convert to fraction form
    109,770.16/151,482.98 = 59,469.16/x
  3. Step 3: Cross multiply
    109,770.16x = 151,482.98 × 59,469.16
  4. Step 4: Simplify right side
    109,770.16x = 9,008,565,574.90
  5. Step 5: Solve for x
    x = 9,008,565,574.90/109,770.16
  6. Step 6: Final answer
    x = 82,067.53

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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.