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Finding the Fourth Proportional to 283,100.25, 424,715.99 and 96,111.75

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Solution

The fourth proportional to 283,100.25, 424,715.99 and 96,111.75 is: 144,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,100.25 : 424,715.99 = 96,111.75 : x
  2. Step 2: Convert to fraction form
    283,100.25/424,715.99 = 96,111.75/x
  3. Step 3: Cross multiply
    283,100.25x = 424,715.99 × 96,111.75
  4. Step 4: Simplify right side
    283,100.25x = 40,820,196,571.32
  5. Step 5: Solve for x
    x = 40,820,196,571.32/283,100.25
  6. Step 6: Final answer
    x = 144,189.90

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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.