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Finding the Fourth Proportional to 298,747.92, 448,220.52 and 109,266.24

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Solution

The fourth proportional to 298,747.92, 448,220.52 and 109,266.24 is: 163,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,747.92 : 448,220.52 = 109,266.24 : x
  2. Step 2: Convert to fraction form
    298,747.92/448,220.52 = 109,266.24/x
  3. Step 3: Cross multiply
    298,747.92x = 448,220.52 × 109,266.24
  4. Step 4: Simplify right side
    298,747.92x = 48,975,370,911.24
  5. Step 5: Solve for x
    x = 48,975,370,911.24/298,747.92
  6. Step 6: Final answer
    x = 163,935.44

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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.