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Finding the Fourth Proportional to 284,896.71, 427,187.29 and 116,535.26

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Solution

The fourth proportional to 284,896.71, 427,187.29 and 116,535.26 is: 174,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,896.71 : 427,187.29 = 116,535.26 : x
  2. Step 2: Convert to fraction form
    284,896.71/427,187.29 = 116,535.26/x
  3. Step 3: Cross multiply
    284,896.71x = 427,187.29 × 116,535.26
  4. Step 4: Simplify right side
    284,896.71x = 49,782,379,772.91
  5. Step 5: Solve for x
    x = 49,782,379,772.91/284,896.71
  6. Step 6: Final answer
    x = 174,738.35

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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.