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Finding the Fourth Proportional to 231,093.84, 346,571.90 and 97,971.96

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Solution

The fourth proportional to 231,093.84, 346,571.90 and 97,971.96 is: 146,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,093.84 : 346,571.90 = 97,971.96 : x
  2. Step 2: Convert to fraction form
    231,093.84/346,571.90 = 97,971.96/x
  3. Step 3: Cross multiply
    231,093.84x = 346,571.90 × 97,971.96
  4. Step 4: Simplify right side
    231,093.84x = 33,954,328,323.92
  5. Step 5: Solve for x
    x = 33,954,328,323.92/231,093.84
  6. Step 6: Final answer
    x = 146,928.75

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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.