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Finding the Fourth Proportional to 210,796.96, 290,893.60 and 115,301.60

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Solution

The fourth proportional to 210,796.96, 290,893.60 and 115,301.60 is: 159,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,796.96 : 290,893.60 = 115,301.60 : x
  2. Step 2: Convert to fraction form
    210,796.96/290,893.60 = 115,301.60/x
  3. Step 3: Cross multiply
    210,796.96x = 290,893.60 × 115,301.60
  4. Step 4: Simplify right side
    210,796.96x = 33,540,497,509.76
  5. Step 5: Solve for x
    x = 33,540,497,509.76/210,796.96
  6. Step 6: Final answer
    x = 159,112.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.