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Finding the Fourth Proportional to 283,134, 424,766.70 and 96,145.68

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Solution

The fourth proportional to 283,134, 424,766.70 and 96,145.68 is: 144,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,134 : 424,766.70 = 96,145.68 : x
  2. Step 2: Convert to fraction form
    283,134/424,766.70 = 96,145.68/x
  3. Step 3: Cross multiply
    283,134x = 424,766.70 × 96,145.68
  4. Step 4: Simplify right side
    283,134x = 40,839,483,212.86
  5. Step 5: Solve for x
    x = 40,839,483,212.86/283,134
  6. Step 6: Final answer
    x = 144,240.83

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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.