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Finding the Fourth Proportional to 283,249.56, 424,728.06 and 83,544.60

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Solution

The fourth proportional to 283,249.56, 424,728.06 and 83,544.60 is: 125,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,249.56 : 424,728.06 = 83,544.60 : x
  2. Step 2: Convert to fraction form
    283,249.56/424,728.06 = 83,544.60/x
  3. Step 3: Cross multiply
    283,249.56x = 424,728.06 × 83,544.60
  4. Step 4: Simplify right side
    283,249.56x = 35,483,735,881.48
  5. Step 5: Solve for x
    x = 35,483,735,881.48/283,249.56
  6. Step 6: Final answer
    x = 125,273.75

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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.