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Finding the Fourth Proportional to 304,121.18, 419,669.20 and 168,144.46

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Solution

The fourth proportional to 304,121.18, 419,669.20 and 168,144.46 is: 232,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,121.18 : 419,669.20 = 168,144.46 : x
  2. Step 2: Convert to fraction form
    304,121.18/419,669.20 = 168,144.46/x
  3. Step 3: Cross multiply
    304,121.18x = 419,669.20 × 168,144.46
  4. Step 4: Simplify right side
    304,121.18x = 70,565,050,173.64
  5. Step 5: Solve for x
    x = 70,565,050,173.64/304,121.18
  6. Step 6: Final answer
    x = 232,029.38

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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.