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Finding the Fourth Proportional to 106,313.94, 159,472.11 and 45,516.03

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Solution

The fourth proportional to 106,313.94, 159,472.11 and 45,516.03 is: 68,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,313.94 : 159,472.11 = 45,516.03 : x
  2. Step 2: Convert to fraction form
    106,313.94/159,472.11 = 45,516.03/x
  3. Step 3: Cross multiply
    106,313.94x = 159,472.11 × 45,516.03
  4. Step 4: Simplify right side
    106,313.94x = 7,258,536,915.59
  5. Step 5: Solve for x
    x = 7,258,536,915.59/106,313.94
  6. Step 6: Final answer
    x = 68,274.55

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Why These Related Problems?

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