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Finding the Fourth Proportional to 511,199.91, 766,801.69 and 156,212.45

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Solution

The fourth proportional to 511,199.91, 766,801.69 and 156,212.45 is: 234,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,199.91 : 766,801.69 = 156,212.45 : x
  2. Step 2: Convert to fraction form
    511,199.91/766,801.69 = 156,212.45/x
  3. Step 3: Cross multiply
    511,199.91x = 766,801.69 × 156,212.45
  4. Step 4: Simplify right side
    511,199.91x = 119,783,969,310.01
  5. Step 5: Solve for x
    x = 119,783,969,310.01/511,199.91
  6. Step 6: Final answer
    x = 234,319.23

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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.