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Finding the Fourth Proportional to 154,805.91, 213,633.92 and 85,896.63

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Solution

The fourth proportional to 154,805.91, 213,633.92 and 85,896.63 is: 118,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,805.91 : 213,633.92 = 85,896.63 : x
  2. Step 2: Convert to fraction form
    154,805.91/213,633.92 = 85,896.63/x
  3. Step 3: Cross multiply
    154,805.91x = 213,633.92 × 85,896.63
  4. Step 4: Simplify right side
    154,805.91x = 18,350,433,996.43
  5. Step 5: Solve for x
    x = 18,350,433,996.43/154,805.91
  6. Step 6: Final answer
    x = 118,538.33

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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.