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Finding the Fourth Proportional to 164,064.30, 246,355.65 and 120,000.30

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Solution

The fourth proportional to 164,064.30, 246,355.65 and 120,000.30 is: 180,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,064.30 : 246,355.65 = 120,000.30 : x
  2. Step 2: Convert to fraction form
    164,064.30/246,355.65 = 120,000.30/x
  3. Step 3: Cross multiply
    164,064.30x = 246,355.65 × 120,000.30
  4. Step 4: Simplify right side
    164,064.30x = 29,562,751,906.70
  5. Step 5: Solve for x
    x = 29,562,751,906.70/164,064.30
  6. Step 6: Final answer
    x = 180,190.03

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1.5x scale

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.