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Finding the Fourth Proportional to 189,076.56, 260,927.44 and 104,196.72

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Solution

The fourth proportional to 189,076.56, 260,927.44 and 104,196.72 is: 143,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.56 : 260,927.44 = 104,196.72 : x
  2. Step 2: Convert to fraction form
    189,076.56/260,927.44 = 104,196.72/x
  3. Step 3: Cross multiply
    189,076.56x = 260,927.44 × 104,196.72
  4. Step 4: Simplify right side
    189,076.56x = 27,187,783,406.00
  5. Step 5: Solve for x
    x = 27,187,783,406.00/189,076.56
  6. Step 6: Final answer
    x = 143,792.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.