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Finding the Fourth Proportional to 283,183.53, 424,774.77 and 83,644.04

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Solution

The fourth proportional to 283,183.53, 424,774.77 and 83,644.04 is: 125,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,183.53 : 424,774.77 = 83,644.04 : x
  2. Step 2: Convert to fraction form
    283,183.53/424,774.77 = 83,644.04/x
  3. Step 3: Cross multiply
    283,183.53x = 424,774.77 × 83,644.04
  4. Step 4: Simplify right side
    283,183.53x = 35,529,875,729.00
  5. Step 5: Solve for x
    x = 35,529,875,729.00/283,183.53
  6. Step 6: Final answer
    x = 125,465.90

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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.