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Finding the Fourth Proportional to 283,091.68, 424,569.48 and 83,357.83

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Solution

The fourth proportional to 283,091.68, 424,569.48 and 83,357.83 is: 125,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,091.68 : 424,569.48 = 83,357.83 : x
  2. Step 2: Convert to fraction form
    283,091.68/424,569.48 = 83,357.83/x
  3. Step 3: Cross multiply
    283,091.68x = 424,569.48 × 83,357.83
  4. Step 4: Simplify right side
    283,091.68x = 35,391,190,537.03
  5. Step 5: Solve for x
    x = 35,391,190,537.03/283,091.68
  6. Step 6: Final answer
    x = 125,016.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.