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Finding the Fourth Proportional to 189,984.99, 285,055.95 and 83,313.73

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Solution

The fourth proportional to 189,984.99, 285,055.95 and 83,313.73 is: 125,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984.99 : 285,055.95 = 83,313.73 : x
  2. Step 2: Convert to fraction form
    189,984.99/285,055.95 = 83,313.73/x
  3. Step 3: Cross multiply
    189,984.99x = 285,055.95 × 83,313.73
  4. Step 4: Simplify right side
    189,984.99x = 23,749,073,027.91
  5. Step 5: Solve for x
    x = 23,749,073,027.91/189,984.99
  6. Step 6: Final answer
    x = 125,005.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.