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Finding the Fourth Proportional to 201,107.10, 301,747.05 and 102,611.10

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Solution

The fourth proportional to 201,107.10, 301,747.05 and 102,611.10 is: 153,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.10 : 301,747.05 = 102,611.10 : x
  2. Step 2: Convert to fraction form
    201,107.10/301,747.05 = 102,611.10/x
  3. Step 3: Cross multiply
    201,107.10x = 301,747.05 × 102,611.10
  4. Step 4: Simplify right side
    201,107.10x = 30,962,596,722.26
  5. Step 5: Solve for x
    x = 30,962,596,722.26/201,107.10
  6. Step 6: Final answer
    x = 153,960.73

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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.