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Finding the Fourth Proportional to 283,103, 424,720.11 and 96,114.50

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Solution

The fourth proportional to 283,103, 424,720.11 and 96,114.50 is: 144,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,103 : 424,720.11 = 96,114.50 : x
  2. Step 2: Convert to fraction form
    283,103/424,720.11 = 96,114.50/x
  3. Step 3: Cross multiply
    283,103x = 424,720.11 × 96,114.50
  4. Step 4: Simplify right side
    283,103x = 40,821,761,012.60
  5. Step 5: Solve for x
    x = 40,821,761,012.60/283,103
  6. Step 6: Final answer
    x = 144,194.02

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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.