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Finding the Fourth Proportional to 120,962.40, 181,472.40 and 50,805.60

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Solution

The fourth proportional to 120,962.40, 181,472.40 and 50,805.60 is: 76,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,962.40 : 181,472.40 = 50,805.60 : x
  2. Step 2: Convert to fraction form
    120,962.40/181,472.40 = 50,805.60/x
  3. Step 3: Cross multiply
    120,962.40x = 181,472.40 × 50,805.60
  4. Step 4: Simplify right side
    120,962.40x = 9,219,814,165.44
  5. Step 5: Solve for x
    x = 9,219,814,165.44/120,962.40
  6. Step 6: Final answer
    x = 76,220.50

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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.