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Finding the Fourth Proportional to 100,466.20, 150,872.10 and 97,355.80

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Solution

The fourth proportional to 100,466.20, 150,872.10 and 97,355.80 is: 146,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.20 : 150,872.10 = 97,355.80 : x
  2. Step 2: Convert to fraction form
    100,466.20/150,872.10 = 97,355.80/x
  3. Step 3: Cross multiply
    100,466.20x = 150,872.10 × 97,355.80
  4. Step 4: Simplify right side
    100,466.20x = 14,688,273,993.18
  5. Step 5: Solve for x
    x = 14,688,273,993.18/100,466.20
  6. Step 6: Final answer
    x = 146,201.15

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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.