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Finding the Fourth Proportional to 225,509.52, 338,316.54 and 65,589.24

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Solution

The fourth proportional to 225,509.52, 338,316.54 and 65,589.24 is: 98,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,509.52 : 338,316.54 = 65,589.24 : x
  2. Step 2: Convert to fraction form
    225,509.52/338,316.54 = 65,589.24/x
  3. Step 3: Cross multiply
    225,509.52x = 338,316.54 × 65,589.24
  4. Step 4: Simplify right side
    225,509.52x = 22,189,924,738.03
  5. Step 5: Solve for x
    x = 22,189,924,738.03/225,509.52
  6. Step 6: Final answer
    x = 98,399.06

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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.