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Finding the Fourth Proportional to 120,243.44, 180,387.84 and 37,118

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Solution

The fourth proportional to 120,243.44, 180,387.84 and 37,118 is: 55,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243.44 : 180,387.84 = 37,118 : x
  2. Step 2: Convert to fraction form
    120,243.44/180,387.84 = 37,118/x
  3. Step 3: Cross multiply
    120,243.44x = 180,387.84 × 37,118
  4. Step 4: Simplify right side
    120,243.44x = 6,695,635,845.12
  5. Step 5: Solve for x
    x = 6,695,635,845.12/120,243.44
  6. Step 6: Final answer
    x = 55,684.00

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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.