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Finding the Fourth Proportional to 167,751, 231,509.70 and 96,137.67

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Solution

The fourth proportional to 167,751, 231,509.70 and 96,137.67 is: 132,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,751 : 231,509.70 = 96,137.67 : x
  2. Step 2: Convert to fraction form
    167,751/231,509.70 = 96,137.67/x
  3. Step 3: Cross multiply
    167,751x = 231,509.70 × 96,137.67
  4. Step 4: Simplify right side
    167,751x = 22,256,803,140.40
  5. Step 5: Solve for x
    x = 22,256,803,140.40/167,751
  6. Step 6: Final answer
    x = 132,677.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.