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Finding the Fourth Proportional to 174,002.40, 261,003.60 and 120,858.30

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Solution

The fourth proportional to 174,002.40, 261,003.60 and 120,858.30 is: 181,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,002.40 : 261,003.60 = 120,858.30 : x
  2. Step 2: Convert to fraction form
    174,002.40/261,003.60 = 120,858.30/x
  3. Step 3: Cross multiply
    174,002.40x = 261,003.60 × 120,858.30
  4. Step 4: Simplify right side
    174,002.40x = 31,544,451,389.88
  5. Step 5: Solve for x
    x = 31,544,451,389.88/174,002.40
  6. Step 6: Final answer
    x = 181,287.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.