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Finding the Fourth Proportional to 150,093.42, 207,108.63 and 85,570.98

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Solution

The fourth proportional to 150,093.42, 207,108.63 and 85,570.98 is: 118,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,093.42 : 207,108.63 = 85,570.98 : x
  2. Step 2: Convert to fraction form
    150,093.42/207,108.63 = 85,570.98/x
  3. Step 3: Cross multiply
    150,093.42x = 207,108.63 × 85,570.98
  4. Step 4: Simplify right side
    150,093.42x = 17,722,488,435.56
  5. Step 5: Solve for x
    x = 17,722,488,435.56/150,093.42
  6. Step 6: Final answer
    x = 118,076.38

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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.