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Finding the Fourth Proportional to 186,512.66, 257,379.43 and 105,939.94

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Solution

The fourth proportional to 186,512.66, 257,379.43 and 105,939.94 is: 146,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512.66 : 257,379.43 = 105,939.94 : x
  2. Step 2: Convert to fraction form
    186,512.66/257,379.43 = 105,939.94/x
  3. Step 3: Cross multiply
    186,512.66x = 257,379.43 × 105,939.94
  4. Step 4: Simplify right side
    186,512.66x = 27,266,759,554.84
  5. Step 5: Solve for x
    x = 27,266,759,554.84/186,512.66
  6. Step 6: Final answer
    x = 146,192.54

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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.