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Finding the Fourth Proportional to 186,640.80, 257,490.78 and 114,896.16

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Solution

The fourth proportional to 186,640.80, 257,490.78 and 114,896.16 is: 158,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,640.80 : 257,490.78 = 114,896.16 : x
  2. Step 2: Convert to fraction form
    186,640.80/257,490.78 = 114,896.16/x
  3. Step 3: Cross multiply
    186,640.80x = 257,490.78 × 114,896.16
  4. Step 4: Simplify right side
    186,640.80x = 29,584,701,857.40
  5. Step 5: Solve for x
    x = 29,584,701,857.40/186,640.80
  6. Step 6: Final answer
    x = 158,511.44

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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.