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Finding the Fourth Proportional to 190,014.56, 285,000.59 and 47,859.78

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Solution

The fourth proportional to 190,014.56, 285,000.59 and 47,859.78 is: 71,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,014.56 : 285,000.59 = 47,859.78 : x
  2. Step 2: Convert to fraction form
    190,014.56/285,000.59 = 47,859.78/x
  3. Step 3: Cross multiply
    190,014.56x = 285,000.59 × 47,859.78
  4. Step 4: Simplify right side
    190,014.56x = 13,640,065,122.54
  5. Step 5: Solve for x
    x = 13,640,065,122.54/190,014.56
  6. Step 6: Final answer
    x = 71,784.32

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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.