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Finding the Fourth Proportional to 164,751, 227,356.86 and 89,299.80

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Solution

The fourth proportional to 164,751, 227,356.86 and 89,299.80 is: 123,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,751 : 227,356.86 = 89,299.80 : x
  2. Step 2: Convert to fraction form
    164,751/227,356.86 = 89,299.80/x
  3. Step 3: Cross multiply
    164,751x = 227,356.86 × 89,299.80
  4. Step 4: Simplify right side
    164,751x = 20,302,922,126.63
  5. Step 5: Solve for x
    x = 20,302,922,126.63/164,751
  6. Step 6: Final answer
    x = 123,233.98

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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.