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Finding the Fourth Proportional to 120,951.66, 181,365.30 and 54,334.66

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Solution

The fourth proportional to 120,951.66, 181,365.30 and 54,334.66 is: 81,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,951.66 : 181,365.30 = 54,334.66 : x
  2. Step 2: Convert to fraction form
    120,951.66/181,365.30 = 54,334.66/x
  3. Step 3: Cross multiply
    120,951.66x = 181,365.30 × 54,334.66
  4. Step 4: Simplify right side
    120,951.66x = 9,854,421,911.30
  5. Step 5: Solve for x
    x = 9,854,421,911.30/120,951.66
  6. Step 6: Final answer
    x = 81,474.05

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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.