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Finding the Fourth Proportional to 190,464.48, 285,696.72 and 50,234.04

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Solution

The fourth proportional to 190,464.48, 285,696.72 and 50,234.04 is: 75,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,464.48 : 285,696.72 = 50,234.04 : x
  2. Step 2: Convert to fraction form
    190,464.48/285,696.72 = 50,234.04/x
  3. Step 3: Cross multiply
    190,464.48x = 285,696.72 × 50,234.04
  4. Step 4: Simplify right side
    190,464.48x = 14,351,700,460.35
  5. Step 5: Solve for x
    x = 14,351,700,460.35/190,464.48
  6. Step 6: Final answer
    x = 75,351.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.