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Finding the Fourth Proportional to 234,859.37, 351,835.56 and 140,165.10

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Solution

The fourth proportional to 234,859.37, 351,835.56 and 140,165.10 is: 209,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,859.37 : 351,835.56 = 140,165.10 : x
  2. Step 2: Convert to fraction form
    234,859.37/351,835.56 = 140,165.10/x
  3. Step 3: Cross multiply
    234,859.37x = 351,835.56 × 140,165.10
  4. Step 4: Simplify right side
    234,859.37x = 49,315,066,450.96
  5. Step 5: Solve for x
    x = 49,315,066,450.96/234,859.37
  6. Step 6: Final answer
    x = 209,977.01

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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.