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Finding the Fourth Proportional to 163,031.92, 224,993.32 and 91,408.48

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Solution

The fourth proportional to 163,031.92, 224,993.32 and 91,408.48 is: 126,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,031.92 : 224,993.32 = 91,408.48 : x
  2. Step 2: Convert to fraction form
    163,031.92/224,993.32 = 91,408.48/x
  3. Step 3: Cross multiply
    163,031.92x = 224,993.32 × 91,408.48
  4. Step 4: Simplify right side
    163,031.92x = 20,566,297,391.35
  5. Step 5: Solve for x
    x = 20,566,297,391.35/163,031.92
  6. Step 6: Final answer
    x = 126,148.90

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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.