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Finding the Fourth Proportional to 201,785.10, 302,531.85 and 113,065.80

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Solution

The fourth proportional to 201,785.10, 302,531.85 and 113,065.80 is: 169,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.10 : 302,531.85 = 113,065.80 : x
  2. Step 2: Convert to fraction form
    201,785.10/302,531.85 = 113,065.80/x
  3. Step 3: Cross multiply
    201,785.10x = 302,531.85 × 113,065.80
  4. Step 4: Simplify right side
    201,785.10x = 34,206,005,645.73
  5. Step 5: Solve for x
    x = 34,206,005,645.73/201,785.10
  6. Step 6: Final answer
    x = 169,517.00

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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.