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Finding the Fourth Proportional to 332,792, 499,191.84 and 96,137.28

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Solution

The fourth proportional to 332,792, 499,191.84 and 96,137.28 is: 144,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,792 : 499,191.84 = 96,137.28 : x
  2. Step 2: Convert to fraction form
    332,792/499,191.84 = 96,137.28/x
  3. Step 3: Cross multiply
    332,792x = 499,191.84 × 96,137.28
  4. Step 4: Simplify right side
    332,792x = 47,990,945,695.80
  5. Step 5: Solve for x
    x = 47,990,945,695.80/332,792
  6. Step 6: Final answer
    x = 144,207.03

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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.