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Finding the Fourth Proportional to 230,717.64, 346,074.40 and 72,946.15

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Solution

The fourth proportional to 230,717.64, 346,074.40 and 72,946.15 is: 109,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,717.64 : 346,074.40 = 72,946.15 : x
  2. Step 2: Convert to fraction form
    230,717.64/346,074.40 = 72,946.15/x
  3. Step 3: Cross multiply
    230,717.64x = 346,074.40 × 72,946.15
  4. Step 4: Simplify right side
    230,717.64x = 25,244,795,093.56
  5. Step 5: Solve for x
    x = 25,244,795,093.56/230,717.64
  6. Step 6: Final answer
    x = 109,418.57

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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.