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Finding the Fourth Proportional to 120,106.50, 180,127.35 and 45,221.46

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Solution

The fourth proportional to 120,106.50, 180,127.35 and 45,221.46 is: 67,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,106.50 : 180,127.35 = 45,221.46 : x
  2. Step 2: Convert to fraction form
    120,106.50/180,127.35 = 45,221.46/x
  3. Step 3: Cross multiply
    120,106.50x = 180,127.35 × 45,221.46
  4. Step 4: Simplify right side
    120,106.50x = 8,145,621,752.93
  5. Step 5: Solve for x
    x = 8,145,621,752.93/120,106.50
  6. Step 6: Final answer
    x = 67,819.99

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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.