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Finding the Fourth Proportional to 106,658.60, 160,075.38 and 54,083.12

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Solution

The fourth proportional to 106,658.60, 160,075.38 and 54,083.12 is: 81,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658.60 : 160,075.38 = 54,083.12 : x
  2. Step 2: Convert to fraction form
    106,658.60/160,075.38 = 54,083.12/x
  3. Step 3: Cross multiply
    106,658.60x = 160,075.38 × 54,083.12
  4. Step 4: Simplify right side
    106,658.60x = 8,657,375,185.21
  5. Step 5: Solve for x
    x = 8,657,375,185.21/106,658.60
  6. Step 6: Final answer
    x = 81,169.03

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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.