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Finding the Fourth Proportional to 178,123.97, 245,811.44 and 96,453.11

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Solution

The fourth proportional to 178,123.97, 245,811.44 and 96,453.11 is: 133,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123.97 : 245,811.44 = 96,453.11 : x
  2. Step 2: Convert to fraction form
    178,123.97/245,811.44 = 96,453.11/x
  3. Step 3: Cross multiply
    178,123.97x = 245,811.44 × 96,453.11
  4. Step 4: Simplify right side
    178,123.97x = 23,709,277,861.58
  5. Step 5: Solve for x
    x = 23,709,277,861.58/178,123.97
  6. Step 6: Final answer
    x = 133,105.49

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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.