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Finding the Fourth Proportional to 189,088.86, 283,682.49 and 70,769.34

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Solution

The fourth proportional to 189,088.86, 283,682.49 and 70,769.34 is: 106,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,088.86 : 283,682.49 = 70,769.34 : x
  2. Step 2: Convert to fraction form
    189,088.86/283,682.49 = 70,769.34/x
  3. Step 3: Cross multiply
    189,088.86x = 283,682.49 × 70,769.34
  4. Step 4: Simplify right side
    189,088.86x = 20,076,022,586.86
  5. Step 5: Solve for x
    x = 20,076,022,586.86/189,088.86
  6. Step 6: Final answer
    x = 106,172.42

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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.