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Finding the Fourth Proportional to 111,309.56, 153,642.07 and 71,023.24

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Solution

The fourth proportional to 111,309.56, 153,642.07 and 71,023.24 is: 98,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,309.56 : 153,642.07 = 71,023.24 : x
  2. Step 2: Convert to fraction form
    111,309.56/153,642.07 = 71,023.24/x
  3. Step 3: Cross multiply
    111,309.56x = 153,642.07 × 71,023.24
  4. Step 4: Simplify right side
    111,309.56x = 10,912,157,611.71
  5. Step 5: Solve for x
    x = 10,912,157,611.71/111,309.56
  6. Step 6: Final answer
    x = 98,034.33

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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.