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Finding the Fourth Proportional to 178,782.16, 268,172.97 and 45,662.38

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Solution

The fourth proportional to 178,782.16, 268,172.97 and 45,662.38 is: 68,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,782.16 : 268,172.97 = 45,662.38 : x
  2. Step 2: Convert to fraction form
    178,782.16/268,172.97 = 45,662.38/x
  3. Step 3: Cross multiply
    178,782.16x = 268,172.97 × 45,662.38
  4. Step 4: Simplify right side
    178,782.16x = 12,245,416,061.87
  5. Step 5: Solve for x
    x = 12,245,416,061.87/178,782.16
  6. Step 6: Final answer
    x = 68,493.50

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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.