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Finding the Fourth Proportional to 120,943.20, 181,415.20 and 36,704.08

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Solution

The fourth proportional to 120,943.20, 181,415.20 and 36,704.08 is: 55,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,943.20 : 181,415.20 = 36,704.08 : x
  2. Step 2: Convert to fraction form
    120,943.20/181,415.20 = 36,704.08/x
  3. Step 3: Cross multiply
    120,943.20x = 181,415.20 × 36,704.08
  4. Step 4: Simplify right side
    120,943.20x = 6,658,678,014.02
  5. Step 5: Solve for x
    x = 6,658,678,014.02/120,943.20
  6. Step 6: Final answer
    x = 55,056.24

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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.