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Finding the Fourth Proportional to 150,476.52, 207,657.60 and 83,408.52

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Solution

The fourth proportional to 150,476.52, 207,657.60 and 83,408.52 is: 115,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,476.52 : 207,657.60 = 83,408.52 : x
  2. Step 2: Convert to fraction form
    150,476.52/207,657.60 = 83,408.52/x
  3. Step 3: Cross multiply
    150,476.52x = 207,657.60 × 83,408.52
  4. Step 4: Simplify right side
    150,476.52x = 17,320,413,082.75
  5. Step 5: Solve for x
    x = 17,320,413,082.75/150,476.52
  6. Step 6: Final answer
    x = 115,103.76

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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.