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Finding the Fourth Proportional to 283,149.96, 424,799.01 and 105,658.53

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Solution

The fourth proportional to 283,149.96, 424,799.01 and 105,658.53 is: 158,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,149.96 : 424,799.01 = 105,658.53 : x
  2. Step 2: Convert to fraction form
    283,149.96/424,799.01 = 105,658.53/x
  3. Step 3: Cross multiply
    283,149.96x = 424,799.01 × 105,658.53
  4. Step 4: Simplify right side
    283,149.96x = 44,883,638,942.06
  5. Step 5: Solve for x
    x = 44,883,638,942.06/283,149.96
  6. Step 6: Final answer
    x = 158,515.43

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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.