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Finding the Fourth Proportional to 285,466.14, 428,199.21 and 119,137.50

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Solution

The fourth proportional to 285,466.14, 428,199.21 and 119,137.50 is: 178,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466.14 : 428,199.21 = 119,137.50 : x
  2. Step 2: Convert to fraction form
    285,466.14/428,199.21 = 119,137.50/x
  3. Step 3: Cross multiply
    285,466.14x = 428,199.21 × 119,137.50
  4. Step 4: Simplify right side
    285,466.14x = 51,014,583,381.38
  5. Step 5: Solve for x
    x = 51,014,583,381.38/285,466.14
  6. Step 6: Final answer
    x = 178,706.25

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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.