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Finding the Fourth Proportional to 186,540.75, 257,428.06 and 101,659.64

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Solution

The fourth proportional to 186,540.75, 257,428.06 and 101,659.64 is: 140,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540.75 : 257,428.06 = 101,659.64 : x
  2. Step 2: Convert to fraction form
    186,540.75/257,428.06 = 101,659.64/x
  3. Step 3: Cross multiply
    186,540.75x = 257,428.06 × 101,659.64
  4. Step 4: Simplify right side
    186,540.75x = 26,170,042,364.21
  5. Step 5: Solve for x
    x = 26,170,042,364.21/186,540.75
  6. Step 6: Final answer
    x = 140,291.29

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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.