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Finding the Fourth Proportional to 223,992.56, 335,872.19 and 105,632.12

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Solution

The fourth proportional to 223,992.56, 335,872.19 and 105,632.12 is: 158,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,992.56 : 335,872.19 = 105,632.12 : x
  2. Step 2: Convert to fraction form
    223,992.56/335,872.19 = 105,632.12/x
  3. Step 3: Cross multiply
    223,992.56x = 335,872.19 × 105,632.12
  4. Step 4: Simplify right side
    223,992.56x = 35,478,889,271.22
  5. Step 5: Solve for x
    x = 35,478,889,271.22/223,992.56
  6. Step 6: Final answer
    x = 158,393.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.