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Finding the Fourth Proportional to 185,858.49, 256,497.41 and 105,286.68

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Solution

The fourth proportional to 185,858.49, 256,497.41 and 105,286.68 is: 145,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,858.49 : 256,497.41 = 105,286.68 : x
  2. Step 2: Convert to fraction form
    185,858.49/256,497.41 = 105,286.68/x
  3. Step 3: Cross multiply
    185,858.49x = 256,497.41 × 105,286.68
  4. Step 4: Simplify right side
    185,858.49x = 27,005,760,990.72
  5. Step 5: Solve for x
    x = 27,005,760,990.72/185,858.49
  6. Step 6: Final answer
    x = 145,302.81

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1.5x scale

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.