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Finding the Fourth Proportional to 420,163.70, 630,159.09 and 120,577.50

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Solution

The fourth proportional to 420,163.70, 630,159.09 and 120,577.50 is: 180,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,163.70 : 630,159.09 = 120,577.50 : x
  2. Step 2: Convert to fraction form
    420,163.70/630,159.09 = 120,577.50/x
  3. Step 3: Cross multiply
    420,163.70x = 630,159.09 × 120,577.50
  4. Step 4: Simplify right side
    420,163.70x = 75,983,007,222.31
  5. Step 5: Solve for x
    x = 75,983,007,222.31/420,163.70
  6. Step 6: Final answer
    x = 180,841.44

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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.