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Finding the Fourth Proportional to 106,756.67, 160,192.11 and 69,307.94

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Solution

The fourth proportional to 106,756.67, 160,192.11 and 69,307.94 is: 103,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,756.67 : 160,192.11 = 69,307.94 : x
  2. Step 2: Convert to fraction form
    106,756.67/160,192.11 = 69,307.94/x
  3. Step 3: Cross multiply
    106,756.67x = 160,192.11 × 69,307.94
  4. Step 4: Simplify right side
    106,756.67x = 11,102,585,148.35
  5. Step 5: Solve for x
    x = 11,102,585,148.35/106,756.67
  6. Step 6: Final answer
    x = 103,998.98

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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.