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Finding the Fourth Proportional to 139,114.87, 191,982.87 and 78,684.34

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Solution

The fourth proportional to 139,114.87, 191,982.87 and 78,684.34 is: 108,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,114.87 : 191,982.87 = 78,684.34 : x
  2. Step 2: Convert to fraction form
    139,114.87/191,982.87 = 78,684.34/x
  3. Step 3: Cross multiply
    139,114.87x = 191,982.87 × 78,684.34
  4. Step 4: Simplify right side
    139,114.87x = 15,106,044,063.92
  5. Step 5: Solve for x
    x = 15,106,044,063.92/139,114.87
  6. Step 6: Final answer
    x = 108,586.84

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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.