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Finding the Fourth Proportional to 106,696.89, 160,011.16 and 59,334.67

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Solution

The fourth proportional to 106,696.89, 160,011.16 and 59,334.67 is: 88,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696.89 : 160,011.16 = 59,334.67 : x
  2. Step 2: Convert to fraction form
    106,696.89/160,011.16 = 59,334.67/x
  3. Step 3: Cross multiply
    106,696.89x = 160,011.16 × 59,334.67
  4. Step 4: Simplify right side
    106,696.89x = 9,494,208,826.55
  5. Step 5: Solve for x
    x = 9,494,208,826.55/106,696.89
  6. Step 6: Final answer
    x = 88,982.99

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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.