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Finding the Fourth Proportional to 134,286.30, 201,648.15 and 97,107.30

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Solution

The fourth proportional to 134,286.30, 201,648.15 and 97,107.30 is: 145,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,286.30 : 201,648.15 = 97,107.30 : x
  2. Step 2: Convert to fraction form
    134,286.30/201,648.15 = 97,107.30/x
  3. Step 3: Cross multiply
    134,286.30x = 201,648.15 × 97,107.30
  4. Step 4: Simplify right side
    134,286.30x = 19,581,507,396.50
  5. Step 5: Solve for x
    x = 19,581,507,396.50/134,286.30
  6. Step 6: Final answer
    x = 145,819.10

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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.