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Finding the Fourth Proportional to 106,940.69, 147,562.70 and 59,193.93

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Solution

The fourth proportional to 106,940.69, 147,562.70 and 59,193.93 is: 81,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940.69 : 147,562.70 = 59,193.93 : x
  2. Step 2: Convert to fraction form
    106,940.69/147,562.70 = 59,193.93/x
  3. Step 3: Cross multiply
    106,940.69x = 147,562.70 × 59,193.93
  4. Step 4: Simplify right side
    106,940.69x = 8,734,815,838.44
  5. Step 5: Solve for x
    x = 8,734,815,838.44/106,940.69
  6. Step 6: Final answer
    x = 81,679.07

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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.