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Finding the Fourth Proportional to 282,062.21, 422,986.80 and 113,525.11

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Solution

The fourth proportional to 282,062.21, 422,986.80 and 113,525.11 is: 170,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.21 : 422,986.80 = 113,525.11 : x
  2. Step 2: Convert to fraction form
    282,062.21/422,986.80 = 113,525.11/x
  3. Step 3: Cross multiply
    282,062.21x = 422,986.80 × 113,525.11
  4. Step 4: Simplify right side
    282,062.21x = 48,019,620,883.61
  5. Step 5: Solve for x
    x = 48,019,620,883.61/282,062.21
  6. Step 6: Final answer
    x = 170,244.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.