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Finding the Fourth Proportional to 106,950.73, 160,583.79 and 59,658.22

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Solution

The fourth proportional to 106,950.73, 160,583.79 and 59,658.22 is: 89,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.73 : 160,583.79 = 59,658.22 : x
  2. Step 2: Convert to fraction form
    106,950.73/160,583.79 = 59,658.22/x
  3. Step 3: Cross multiply
    106,950.73x = 160,583.79 × 59,658.22
  4. Step 4: Simplify right side
    106,950.73x = 9,580,143,072.25
  5. Step 5: Solve for x
    x = 9,580,143,072.25/106,950.73
  6. Step 6: Final answer
    x = 89,575.29

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1.5x scale

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.