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Finding the Fourth Proportional to 223,713.60, 335,088.96 and 105,207.36

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Solution

The fourth proportional to 223,713.60, 335,088.96 and 105,207.36 is: 157,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.60 : 335,088.96 = 105,207.36 : x
  2. Step 2: Convert to fraction form
    223,713.60/335,088.96 = 105,207.36/x
  3. Step 3: Cross multiply
    223,713.60x = 335,088.96 × 105,207.36
  4. Step 4: Simplify right side
    223,713.60x = 35,253,824,846.75
  5. Step 5: Solve for x
    x = 35,253,824,846.75/223,713.60
  6. Step 6: Final answer
    x = 157,584.63

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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.