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Finding the Fourth Proportional to 106,950.98, 160,584.17 and 59,658.47

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Solution

The fourth proportional to 106,950.98, 160,584.17 and 59,658.47 is: 89,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.98 : 160,584.17 = 59,658.47 : x
  2. Step 2: Convert to fraction form
    106,950.98/160,584.17 = 59,658.47/x
  3. Step 3: Cross multiply
    106,950.98x = 160,584.17 × 59,658.47
  4. Step 4: Simplify right side
    106,950.98x = 9,580,204,787.21
  5. Step 5: Solve for x
    x = 9,580,204,787.21/106,950.98
  6. Step 6: Final answer
    x = 89,575.67

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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.