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Finding the Fourth Proportional to 188,224, 282,327.90 and 47,978.44

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Solution

The fourth proportional to 188,224, 282,327.90 and 47,978.44 is: 71,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,224 : 282,327.90 = 47,978.44 : x
  2. Step 2: Convert to fraction form
    188,224/282,327.90 = 47,978.44/x
  3. Step 3: Cross multiply
    188,224x = 282,327.90 × 47,978.44
  4. Step 4: Simplify right side
    188,224x = 13,545,652,210.48
  5. Step 5: Solve for x
    x = 13,545,652,210.48/188,224
  6. Step 6: Final answer
    x = 71,965.60

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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.