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Finding the Fourth Proportional to 106,851.57, 160,135.75 and 56,823.94

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Solution

The fourth proportional to 106,851.57, 160,135.75 and 56,823.94 is: 85,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851.57 : 160,135.75 = 56,823.94 : x
  2. Step 2: Convert to fraction form
    106,851.57/160,135.75 = 56,823.94/x
  3. Step 3: Cross multiply
    106,851.57x = 160,135.75 × 56,823.94
  4. Step 4: Simplify right side
    106,851.57x = 9,099,544,249.86
  5. Step 5: Solve for x
    x = 9,099,544,249.86/106,851.57
  6. Step 6: Final answer
    x = 85,160.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.