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Finding the Fourth Proportional to 190,515.50, 285,751.29 and 50,285.06

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Solution

The fourth proportional to 190,515.50, 285,751.29 and 50,285.06 is: 75,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,515.50 : 285,751.29 = 50,285.06 : x
  2. Step 2: Convert to fraction form
    190,515.50/285,751.29 = 50,285.06/x
  3. Step 3: Cross multiply
    190,515.50x = 285,751.29 × 50,285.06
  4. Step 4: Simplify right side
    190,515.50x = 14,369,020,762.73
  5. Step 5: Solve for x
    x = 14,369,020,762.73/190,515.50
  6. Step 6: Final answer
    x = 75,421.79

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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.