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Finding the Fourth Proportional to 150,010.88, 207,018 and 82,032.08

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Solution

The fourth proportional to 150,010.88, 207,018 and 82,032.08 is: 113,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010.88 : 207,018 = 82,032.08 : x
  2. Step 2: Convert to fraction form
    150,010.88/207,018 = 82,032.08/x
  3. Step 3: Cross multiply
    150,010.88x = 207,018 × 82,032.08
  4. Step 4: Simplify right side
    150,010.88x = 16,982,117,137.44
  5. Step 5: Solve for x
    x = 16,982,117,137.44/150,010.88
  6. Step 6: Final answer
    x = 113,205.90

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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.