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Finding the Fourth Proportional to 186,022.44, 256,648.50 and 105,443.64

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Solution

The fourth proportional to 186,022.44, 256,648.50 and 105,443.64 is: 145,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,022.44 : 256,648.50 = 105,443.64 : x
  2. Step 2: Convert to fraction form
    186,022.44/256,648.50 = 105,443.64/x
  3. Step 3: Cross multiply
    186,022.44x = 256,648.50 × 105,443.64
  4. Step 4: Simplify right side
    186,022.44x = 27,061,952,040.54
  5. Step 5: Solve for x
    x = 27,061,952,040.54/186,022.44
  6. Step 6: Final answer
    x = 145,476.81

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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.