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Finding the Fourth Proportional to 120,682.40, 181,023.60 and 73,443.20

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Solution

The fourth proportional to 120,682.40, 181,023.60 and 73,443.20 is: 110,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,682.40 : 181,023.60 = 73,443.20 : x
  2. Step 2: Convert to fraction form
    120,682.40/181,023.60 = 73,443.20/x
  3. Step 3: Cross multiply
    120,682.40x = 181,023.60 × 73,443.20
  4. Step 4: Simplify right side
    120,682.40x = 13,294,952,459.52
  5. Step 5: Solve for x
    x = 13,294,952,459.52/120,682.40
  6. Step 6: Final answer
    x = 110,164.80

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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.