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Finding the Fourth Proportional to 182,847.78, 274,271.67 and 77,592.94

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Solution

The fourth proportional to 182,847.78, 274,271.67 and 77,592.94 is: 116,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,847.78 : 274,271.67 = 77,592.94 : x
  2. Step 2: Convert to fraction form
    182,847.78/274,271.67 = 77,592.94/x
  3. Step 3: Cross multiply
    182,847.78x = 274,271.67 × 77,592.94
  4. Step 4: Simplify right side
    182,847.78x = 21,281,544,548.33
  5. Step 5: Solve for x
    x = 21,281,544,548.33/182,847.78
  6. Step 6: Final answer
    x = 116,389.41

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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.