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Finding the Fourth Proportional to 201,694.10, 302,541.15 and 130,835.30

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Solution

The fourth proportional to 201,694.10, 302,541.15 and 130,835.30 is: 196,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.10 : 302,541.15 = 130,835.30 : x
  2. Step 2: Convert to fraction form
    201,694.10/302,541.15 = 130,835.30/x
  3. Step 3: Cross multiply
    201,694.10x = 302,541.15 × 130,835.30
  4. Step 4: Simplify right side
    201,694.10x = 39,583,062,122.60
  5. Step 5: Solve for x
    x = 39,583,062,122.60/201,694.10
  6. Step 6: Final answer
    x = 196,252.95

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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.