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Finding the Fourth Proportional to 225,604.69, 338,412.96 and 65,674.17

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Solution

The fourth proportional to 225,604.69, 338,412.96 and 65,674.17 is: 98,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,604.69 : 338,412.96 = 65,674.17 : x
  2. Step 2: Convert to fraction form
    225,604.69/338,412.96 = 65,674.17/x
  3. Step 3: Cross multiply
    225,604.69x = 338,412.96 × 65,674.17
  4. Step 4: Simplify right side
    225,604.69x = 22,224,989,498.17
  5. Step 5: Solve for x
    x = 22,224,989,498.17/225,604.69
  6. Step 6: Final answer
    x = 98,512.98

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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.