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Finding the Fourth Proportional to 141,168.56, 194,812.99 and 77,510.48

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Solution

The fourth proportional to 141,168.56, 194,812.99 and 77,510.48 is: 106,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,168.56 : 194,812.99 = 77,510.48 : x
  2. Step 2: Convert to fraction form
    141,168.56/194,812.99 = 77,510.48/x
  3. Step 3: Cross multiply
    141,168.56x = 194,812.99 × 77,510.48
  4. Step 4: Simplify right side
    141,168.56x = 15,100,048,365.14
  5. Step 5: Solve for x
    x = 15,100,048,365.14/141,168.56
  6. Step 6: Final answer
    x = 106,964.67

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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.