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Finding the Fourth Proportional to 186,062.33, 256,758.26 and 105,495.30

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Solution

The fourth proportional to 186,062.33, 256,758.26 and 105,495.30 is: 145,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,062.33 : 256,758.26 = 105,495.30 : x
  2. Step 2: Convert to fraction form
    186,062.33/256,758.26 = 105,495.30/x
  3. Step 3: Cross multiply
    186,062.33x = 256,758.26 × 105,495.30
  4. Step 4: Simplify right side
    186,062.33x = 27,086,789,138.70
  5. Step 5: Solve for x
    x = 27,086,789,138.70/186,062.33
  6. Step 6: Final answer
    x = 145,579.12

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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.