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Finding the Fourth Proportional to 150,411.85, 207,513.43 and 89,984.23

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Solution

The fourth proportional to 150,411.85, 207,513.43 and 89,984.23 is: 124,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.85 : 207,513.43 = 89,984.23 : x
  2. Step 2: Convert to fraction form
    150,411.85/207,513.43 = 89,984.23/x
  3. Step 3: Cross multiply
    150,411.85x = 207,513.43 × 89,984.23
  4. Step 4: Simplify right side
    150,411.85x = 18,672,936,213.21
  5. Step 5: Solve for x
    x = 18,672,936,213.21/150,411.85
  6. Step 6: Final answer
    x = 124,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.