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Finding the Fourth Proportional to 190,144.30, 285,231.30 and 84,973.90

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Solution

The fourth proportional to 190,144.30, 285,231.30 and 84,973.90 is: 127,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,144.30 : 285,231.30 = 84,973.90 : x
  2. Step 2: Convert to fraction form
    190,144.30/285,231.30 = 84,973.90/x
  3. Step 3: Cross multiply
    190,144.30x = 285,231.30 × 84,973.90
  4. Step 4: Simplify right side
    190,144.30x = 24,237,215,963.07
  5. Step 5: Solve for x
    x = 24,237,215,963.07/190,144.30
  6. Step 6: Final answer
    x = 127,467.49

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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.