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Finding the Fourth Proportional to 210,540.40, 290,546.48 and 115,047.09

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Solution

The fourth proportional to 210,540.40, 290,546.48 and 115,047.09 is: 158,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,540.40 : 290,546.48 = 115,047.09 : x
  2. Step 2: Convert to fraction form
    210,540.40/290,546.48 = 115,047.09/x
  3. Step 3: Cross multiply
    210,540.40x = 290,546.48 × 115,047.09
  4. Step 4: Simplify right side
    210,540.40x = 33,426,527,321.36
  5. Step 5: Solve for x
    x = 33,426,527,321.36/210,540.40
  6. Step 6: Final answer
    x = 158,765.39

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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.