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Finding the Fourth Proportional to 304,095.38, 419,648.88 and 168,132.78

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Solution

The fourth proportional to 304,095.38, 419,648.88 and 168,132.78 is: 232,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,095.38 : 419,648.88 = 168,132.78 : x
  2. Step 2: Convert to fraction form
    304,095.38/419,648.88 = 168,132.78/x
  3. Step 3: Cross multiply
    304,095.38x = 419,648.88 × 168,132.78
  4. Step 4: Simplify right side
    304,095.38x = 70,556,732,818.29
  5. Step 5: Solve for x
    x = 70,556,732,818.29/304,095.38
  6. Step 6: Final answer
    x = 232,021.72

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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.