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Finding the Fourth Proportional to 223,540.90, 335,459.07 and 105,246.07

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Solution

The fourth proportional to 223,540.90, 335,459.07 and 105,246.07 is: 157,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,540.90 : 335,459.07 = 105,246.07 : x
  2. Step 2: Convert to fraction form
    223,540.90/335,459.07 = 105,246.07/x
  3. Step 3: Cross multiply
    223,540.90x = 335,459.07 × 105,246.07
  4. Step 4: Simplify right side
    223,540.90x = 35,305,747,924.71
  5. Step 5: Solve for x
    x = 35,305,747,924.71/223,540.90
  6. Step 6: Final answer
    x = 157,938.65

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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.