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Finding the Fourth Proportional to 120,838.50, 181,296.27 and 50,698.98

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Solution

The fourth proportional to 120,838.50, 181,296.27 and 50,698.98 is: 76,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.50 : 181,296.27 = 50,698.98 : x
  2. Step 2: Convert to fraction form
    120,838.50/181,296.27 = 50,698.98/x
  3. Step 3: Cross multiply
    120,838.50x = 181,296.27 × 50,698.98
  4. Step 4: Simplify right side
    120,838.50x = 9,191,535,966.80
  5. Step 5: Solve for x
    x = 9,191,535,966.80/120,838.50
  6. Step 6: Final answer
    x = 76,064.63

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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.