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Finding the Fourth Proportional to 189,783.56, 284,453.04 and 77,393.60

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Solution

The fourth proportional to 189,783.56, 284,453.04 and 77,393.60 is: 115,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783.56 : 284,453.04 = 77,393.60 : x
  2. Step 2: Convert to fraction form
    189,783.56/284,453.04 = 77,393.60/x
  3. Step 3: Cross multiply
    189,783.56x = 284,453.04 × 77,393.60
  4. Step 4: Simplify right side
    189,783.56x = 22,014,844,796.54
  5. Step 5: Solve for x
    x = 22,014,844,796.54/189,783.56
  6. Step 6: Final answer
    x = 115,999.75

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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.