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Finding the Fourth Proportional to 186,062.82, 256,758.94 and 105,495.80

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Solution

The fourth proportional to 186,062.82, 256,758.94 and 105,495.80 is: 145,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,062.82 : 256,758.94 = 105,495.80 : x
  2. Step 2: Convert to fraction form
    186,062.82/256,758.94 = 105,495.80/x
  3. Step 3: Cross multiply
    186,062.82x = 256,758.94 × 105,495.80
  4. Step 4: Simplify right side
    186,062.82x = 27,086,989,782.45
  5. Step 5: Solve for x
    x = 27,086,989,782.45/186,062.82
  6. Step 6: Final answer
    x = 145,579.81

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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.