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Finding the Fourth Proportional to 120,954.60, 181,410.30 and 76,501.80

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Solution

The fourth proportional to 120,954.60, 181,410.30 and 76,501.80 is: 114,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,954.60 : 181,410.30 = 76,501.80 : x
  2. Step 2: Convert to fraction form
    120,954.60/181,410.30 = 76,501.80/x
  3. Step 3: Cross multiply
    120,954.60x = 181,410.30 × 76,501.80
  4. Step 4: Simplify right side
    120,954.60x = 13,878,214,488.54
  5. Step 5: Solve for x
    x = 13,878,214,488.54/120,954.60
  6. Step 6: Final answer
    x = 114,739.04

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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.