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Finding the Fourth Proportional to 230,969.30, 346,502.55 and 73,213.70

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Solution

The fourth proportional to 230,969.30, 346,502.55 and 73,213.70 is: 109,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,969.30 : 346,502.55 = 73,213.70 : x
  2. Step 2: Convert to fraction form
    230,969.30/346,502.55 = 73,213.70/x
  3. Step 3: Cross multiply
    230,969.30x = 346,502.55 × 73,213.70
  4. Step 4: Simplify right side
    230,969.30x = 25,368,733,744.94
  5. Step 5: Solve for x
    x = 25,368,733,744.94/230,969.30
  6. Step 6: Final answer
    x = 109,835.96

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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.