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Finding the Fourth Proportional to 192,624.22, 265,806.96 and 107,724.88

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Solution

The fourth proportional to 192,624.22, 265,806.96 and 107,724.88 is: 148,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,624.22 : 265,806.96 = 107,724.88 : x
  2. Step 2: Convert to fraction form
    192,624.22/265,806.96 = 107,724.88/x
  3. Step 3: Cross multiply
    192,624.22x = 265,806.96 × 107,724.88
  4. Step 4: Simplify right side
    192,624.22x = 28,634,021,540.13
  5. Step 5: Solve for x
    x = 28,634,021,540.13/192,624.22
  6. Step 6: Final answer
    x = 148,652.24

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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.