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Finding the Fourth Proportional to 186,726, 257,896.84 and 135,965.68

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Solution

The fourth proportional to 186,726, 257,896.84 and 135,965.68 is: 187,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,726 : 257,896.84 = 135,965.68 : x
  2. Step 2: Convert to fraction form
    186,726/257,896.84 = 135,965.68/x
  3. Step 3: Cross multiply
    186,726x = 257,896.84 × 135,965.68
  4. Step 4: Simplify right side
    186,726x = 35,065,119,220.45
  5. Step 5: Solve for x
    x = 35,065,119,220.45/186,726
  6. Step 6: Final answer
    x = 187,789.16

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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.