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Finding the Fourth Proportional to 309,205.48, 463,661.62 and 119,754.56

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Solution

The fourth proportional to 309,205.48, 463,661.62 and 119,754.56 is: 179,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,205.48 : 463,661.62 = 119,754.56 : x
  2. Step 2: Convert to fraction form
    309,205.48/463,661.62 = 119,754.56/x
  3. Step 3: Cross multiply
    309,205.48x = 463,661.62 × 119,754.56
  4. Step 4: Simplify right side
    309,205.48x = 55,525,593,291.99
  5. Step 5: Solve for x
    x = 55,525,593,291.99/309,205.48
  6. Step 6: Final answer
    x = 179,575.06

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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.