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Finding the Fourth Proportional to 120,218.99, 180,211.30 and 50,118.35

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Solution

The fourth proportional to 120,218.99, 180,211.30 and 50,118.35 is: 75,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,218.99 : 180,211.30 = 50,118.35 : x
  2. Step 2: Convert to fraction form
    120,218.99/180,211.30 = 50,118.35/x
  3. Step 3: Cross multiply
    120,218.99x = 180,211.30 × 50,118.35
  4. Step 4: Simplify right side
    120,218.99x = 9,031,891,981.00
  5. Step 5: Solve for x
    x = 9,031,891,981.00/120,218.99
  6. Step 6: Final answer
    x = 75,128.67

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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.