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Finding the Fourth Proportional to 227,902.80, 342,072.90 and 115,709.70

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Solution

The fourth proportional to 227,902.80, 342,072.90 and 115,709.70 is: 173,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,902.80 : 342,072.90 = 115,709.70 : x
  2. Step 2: Convert to fraction form
    227,902.80/342,072.90 = 115,709.70/x
  3. Step 3: Cross multiply
    227,902.80x = 342,072.90 × 115,709.70
  4. Step 4: Simplify right side
    227,902.80x = 39,581,152,637.13
  5. Step 5: Solve for x
    x = 39,581,152,637.13/227,902.80
  6. Step 6: Final answer
    x = 173,675.59

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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.