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Finding the Fourth Proportional to 229,565.80, 344,348.70 and 111,467.80

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Solution

The fourth proportional to 229,565.80, 344,348.70 and 111,467.80 is: 167,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,565.80 : 344,348.70 = 111,467.80 : x
  2. Step 2: Convert to fraction form
    229,565.80/344,348.70 = 111,467.80/x
  3. Step 3: Cross multiply
    229,565.80x = 344,348.70 × 111,467.80
  4. Step 4: Simplify right side
    229,565.80x = 38,383,792,021.86
  5. Step 5: Solve for x
    x = 38,383,792,021.86/229,565.80
  6. Step 6: Final answer
    x = 167,201.70

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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.