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Finding the Fourth Proportional to 191,096.52, 263,722.14 and 106,215

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Solution

The fourth proportional to 191,096.52, 263,722.14 and 106,215 is: 146,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,096.52 : 263,722.14 = 106,215 : x
  2. Step 2: Convert to fraction form
    191,096.52/263,722.14 = 106,215/x
  3. Step 3: Cross multiply
    191,096.52x = 263,722.14 × 106,215
  4. Step 4: Simplify right side
    191,096.52x = 28,011,247,100.10
  5. Step 5: Solve for x
    x = 28,011,247,100.10/191,096.52
  6. Step 6: Final answer
    x = 146,581.67

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