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Finding the Fourth Proportional to 304,113.11, 419,706.60 and 168,157.31

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Solution

The fourth proportional to 304,113.11, 419,706.60 and 168,157.31 is: 232,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,113.11 : 419,706.60 = 168,157.31 : x
  2. Step 2: Convert to fraction form
    304,113.11/419,706.60 = 168,157.31/x
  3. Step 3: Cross multiply
    304,113.11x = 419,706.60 × 168,157.31
  4. Step 4: Simplify right side
    304,113.11x = 70,576,732,845.25
  5. Step 5: Solve for x
    x = 70,576,732,845.25/304,113.11
  6. Step 6: Final answer
    x = 232,073.96

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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.