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Finding the Fourth Proportional to 109,292.54, 150,893.46 and 89,197.42

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Solution

The fourth proportional to 109,292.54, 150,893.46 and 89,197.42 is: 123,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,292.54 : 150,893.46 = 89,197.42 : x
  2. Step 2: Convert to fraction form
    109,292.54/150,893.46 = 89,197.42/x
  3. Step 3: Cross multiply
    109,292.54x = 150,893.46 × 89,197.42
  4. Step 4: Simplify right side
    109,292.54x = 13,459,307,326.87
  5. Step 5: Solve for x
    x = 13,459,307,326.87/109,292.54
  6. Step 6: Final answer
    x = 123,149.37

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1.5x scale

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.