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Finding the Fourth Proportional to 190,363.80, 285,351.30 and 111,437.40

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Solution

The fourth proportional to 190,363.80, 285,351.30 and 111,437.40 is: 167,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,363.80 : 285,351.30 = 111,437.40 : x
  2. Step 2: Convert to fraction form
    190,363.80/285,351.30 = 111,437.40/x
  3. Step 3: Cross multiply
    190,363.80x = 285,351.30 × 111,437.40
  4. Step 4: Simplify right side
    190,363.80x = 31,798,806,958.62
  5. Step 5: Solve for x
    x = 31,798,806,958.62/190,363.80
  6. Step 6: Final answer
    x = 167,042.30

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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.