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Finding the Fourth Proportional to 283,108, 424,727.62 and 96,119.50

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Solution

The fourth proportional to 283,108, 424,727.62 and 96,119.50 is: 144,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,108 : 424,727.62 = 96,119.50 : x
  2. Step 2: Convert to fraction form
    283,108/424,727.62 = 96,119.50/x
  3. Step 3: Cross multiply
    283,108x = 424,727.62 × 96,119.50
  4. Step 4: Simplify right side
    283,108x = 40,824,606,470.59
  5. Step 5: Solve for x
    x = 40,824,606,470.59/283,108
  6. Step 6: Final answer
    x = 144,201.53

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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.