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Finding the Fourth Proportional to 106,697.26, 160,146.33 and 54,144.46

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Solution

The fourth proportional to 106,697.26, 160,146.33 and 54,144.46 is: 81,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,697.26 : 160,146.33 = 54,144.46 : x
  2. Step 2: Convert to fraction form
    106,697.26/160,146.33 = 54,144.46/x
  3. Step 3: Cross multiply
    106,697.26x = 160,146.33 × 54,144.46
  4. Step 4: Simplify right side
    106,697.26x = 8,671,036,558.83
  5. Step 5: Solve for x
    x = 8,671,036,558.83/106,697.26
  6. Step 6: Final answer
    x = 81,267.66

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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.