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Finding the Fourth Proportional to 298,107.36, 447,029.82 and 157,833.18

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Solution

The fourth proportional to 298,107.36, 447,029.82 and 157,833.18 is: 236,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.36 : 447,029.82 = 157,833.18 : x
  2. Step 2: Convert to fraction form
    298,107.36/447,029.82 = 157,833.18/x
  3. Step 3: Cross multiply
    298,107.36x = 447,029.82 × 157,833.18
  4. Step 4: Simplify right side
    298,107.36x = 70,556,138,045.43
  5. Step 5: Solve for x
    x = 70,556,138,045.43/298,107.36
  6. Step 6: Final answer
    x = 236,680.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.