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Finding the Fourth Proportional to 304,145.54, 419,716.45 and 168,176.50

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Solution

The fourth proportional to 304,145.54, 419,716.45 and 168,176.50 is: 232,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,145.54 : 419,716.45 = 168,176.50 : x
  2. Step 2: Convert to fraction form
    304,145.54/419,716.45 = 168,176.50/x
  3. Step 3: Cross multiply
    304,145.54x = 419,716.45 × 168,176.50
  4. Step 4: Simplify right side
    304,145.54x = 70,586,442,083.69
  5. Step 5: Solve for x
    x = 70,586,442,083.69/304,145.54
  6. Step 6: Final answer
    x = 232,081.14

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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.