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Finding the Fourth Proportional to 106,992.36, 160,510.14 and 73,728.36

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Solution

The fourth proportional to 106,992.36, 160,510.14 and 73,728.36 is: 110,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.36 : 160,510.14 = 73,728.36 : x
  2. Step 2: Convert to fraction form
    106,992.36/160,510.14 = 73,728.36/x
  3. Step 3: Cross multiply
    106,992.36x = 160,510.14 × 73,728.36
  4. Step 4: Simplify right side
    106,992.36x = 11,834,149,385.57
  5. Step 5: Solve for x
    x = 11,834,149,385.57/106,992.36
  6. Step 6: Final answer
    x = 110,607.42

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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.