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Finding the Fourth Proportional to 284,106.54, 426,048.48 and 106,516.74

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Solution

The fourth proportional to 284,106.54, 426,048.48 and 106,516.74 is: 159,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,106.54 : 426,048.48 = 106,516.74 : x
  2. Step 2: Convert to fraction form
    284,106.54/426,048.48 = 106,516.74/x
  3. Step 3: Cross multiply
    284,106.54x = 426,048.48 × 106,516.74
  4. Step 4: Simplify right side
    284,106.54x = 45,381,295,171.56
  5. Step 5: Solve for x
    x = 45,381,295,171.56/284,106.54
  6. Step 6: Final answer
    x = 159,733.37

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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.