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Finding the Fourth Proportional to 190,992, 284,470.53 and 180,999.84

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Solution

The fourth proportional to 190,992, 284,470.53 and 180,999.84 is: 269,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992 : 284,470.53 = 180,999.84 : x
  2. Step 2: Convert to fraction form
    190,992/284,470.53 = 180,999.84/x
  3. Step 3: Cross multiply
    190,992x = 284,470.53 × 180,999.84
  4. Step 4: Simplify right side
    190,992x = 51,489,120,414.72
  5. Step 5: Solve for x
    x = 51,489,120,414.72/190,992
  6. Step 6: Final answer
    x = 269,587.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.