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Finding the Fourth Proportional to 193,012.92, 289,505.43 and 59,889.78

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Solution

The fourth proportional to 193,012.92, 289,505.43 and 59,889.78 is: 89,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,012.92 : 289,505.43 = 59,889.78 : x
  2. Step 2: Convert to fraction form
    193,012.92/289,505.43 = 59,889.78/x
  3. Step 3: Cross multiply
    193,012.92x = 289,505.43 × 59,889.78
  4. Step 4: Simplify right side
    193,012.92x = 17,338,416,511.51
  5. Step 5: Solve for x
    x = 17,338,416,511.51/193,012.92
  6. Step 6: Final answer
    x = 89,830.34

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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.