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Finding the Fourth Proportional to 511,170.42, 766,755.53 and 137,193.42

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Solution

The fourth proportional to 511,170.42, 766,755.53 and 137,193.42 is: 205,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,170.42 : 766,755.53 = 137,193.42 : x
  2. Step 2: Convert to fraction form
    511,170.42/766,755.53 = 137,193.42/x
  3. Step 3: Cross multiply
    511,170.42x = 766,755.53 × 137,193.42
  4. Step 4: Simplify right side
    511,170.42x = 105,193,813,464.61
  5. Step 5: Solve for x
    x = 105,193,813,464.61/511,170.42
  6. Step 6: Final answer
    x = 205,790.10

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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.