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Finding the Fourth Proportional to 149,343.63, 206,094.15 and 82,275.63

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Solution

The fourth proportional to 149,343.63, 206,094.15 and 82,275.63 is: 113,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,343.63 : 206,094.15 = 82,275.63 : x
  2. Step 2: Convert to fraction form
    149,343.63/206,094.15 = 82,275.63/x
  3. Step 3: Cross multiply
    149,343.63x = 206,094.15 × 82,275.63
  4. Step 4: Simplify right side
    149,343.63x = 16,956,526,030.56
  5. Step 5: Solve for x
    x = 16,956,526,030.56/149,343.63
  6. Step 6: Final answer
    x = 113,540.34

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Double scale
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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.