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Finding the Fourth Proportional to 189,392.76, 284,015.31 and 70,999.50

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Solution

The fourth proportional to 189,392.76, 284,015.31 and 70,999.50 is: 106,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392.76 : 284,015.31 = 70,999.50 : x
  2. Step 2: Convert to fraction form
    189,392.76/284,015.31 = 70,999.50/x
  3. Step 3: Cross multiply
    189,392.76x = 284,015.31 × 70,999.50
  4. Step 4: Simplify right side
    189,392.76x = 20,164,945,002.35
  5. Step 5: Solve for x
    x = 20,164,945,002.35/189,392.76
  6. Step 6: Final answer
    x = 106,471.57

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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.