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Finding the Fourth Proportional to 225,952.69, 311,531.01 and 165,418.24

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Solution

The fourth proportional to 225,952.69, 311,531.01 and 165,418.24 is: 228,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,952.69 : 311,531.01 = 165,418.24 : x
  2. Step 2: Convert to fraction form
    225,952.69/311,531.01 = 165,418.24/x
  3. Step 3: Cross multiply
    225,952.69x = 311,531.01 × 165,418.24
  4. Step 4: Simplify right side
    225,952.69x = 51,532,911,379.62
  5. Step 5: Solve for x
    x = 51,532,911,379.62/225,952.69
  6. Step 6: Final answer
    x = 228,069.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.