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Finding the Fourth Proportional to 183,142.62, 274,670.88 and 49,991.16

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Solution

The fourth proportional to 183,142.62, 274,670.88 and 49,991.16 is: 74,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,142.62 : 274,670.88 = 49,991.16 : x
  2. Step 2: Convert to fraction form
    183,142.62/274,670.88 = 49,991.16/x
  3. Step 3: Cross multiply
    183,142.62x = 274,670.88 × 49,991.16
  4. Step 4: Simplify right side
    183,142.62x = 13,731,115,909.42
  5. Step 5: Solve for x
    x = 13,731,115,909.42/183,142.62
  6. Step 6: Final answer
    x = 74,974.99

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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.