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Finding the Fourth Proportional to 203,751.05, 305,586.14 and 102,522.11

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Solution

The fourth proportional to 203,751.05, 305,586.14 and 102,522.11 is: 153,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,751.05 : 305,586.14 = 102,522.11 : x
  2. Step 2: Convert to fraction form
    203,751.05/305,586.14 = 102,522.11/x
  3. Step 3: Cross multiply
    203,751.05x = 305,586.14 × 102,522.11
  4. Step 4: Simplify right side
    203,751.05x = 31,329,333,819.01
  5. Step 5: Solve for x
    x = 31,329,333,819.01/203,751.05
  6. Step 6: Final answer
    x = 153,762.81

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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.