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Finding the Fourth Proportional to 280,201.77, 420,154.11 and 122,245.70

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Solution

The fourth proportional to 280,201.77, 420,154.11 and 122,245.70 is: 183,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,201.77 : 420,154.11 = 122,245.70 : x
  2. Step 2: Convert to fraction form
    280,201.77/420,154.11 = 122,245.70/x
  3. Step 3: Cross multiply
    280,201.77x = 420,154.11 × 122,245.70
  4. Step 4: Simplify right side
    280,201.77x = 51,362,031,184.06
  5. Step 5: Solve for x
    x = 51,362,031,184.06/280,201.77
  6. Step 6: Final answer
    x = 183,303.74

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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.