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Finding the Fourth Proportional to 304,162.96, 419,747.60 and 168,206.05

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Solution

The fourth proportional to 304,162.96, 419,747.60 and 168,206.05 is: 232,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,162.96 : 419,747.60 = 168,206.05 : x
  2. Step 2: Convert to fraction form
    304,162.96/419,747.60 = 168,206.05/x
  3. Step 3: Cross multiply
    304,162.96x = 419,747.60 × 168,206.05
  4. Step 4: Simplify right side
    304,162.96x = 70,604,085,792.98
  5. Step 5: Solve for x
    x = 70,604,085,792.98/304,162.96
  6. Step 6: Final answer
    x = 232,125.85

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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.