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Finding the Fourth Proportional to 106,961.80, 160,442.70 and 89,465.80

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Solution

The fourth proportional to 106,961.80, 160,442.70 and 89,465.80 is: 134,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,961.80 : 160,442.70 = 89,465.80 : x
  2. Step 2: Convert to fraction form
    106,961.80/160,442.70 = 89,465.80/x
  3. Step 3: Cross multiply
    106,961.80x = 160,442.70 × 89,465.80
  4. Step 4: Simplify right side
    106,961.80x = 14,354,134,509.66
  5. Step 5: Solve for x
    x = 14,354,134,509.66/106,961.80
  6. Step 6: Final answer
    x = 134,198.70

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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.