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Finding the Fourth Proportional to 210,161.96, 290,023.08 and 114,668.60

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Solution

The fourth proportional to 210,161.96, 290,023.08 and 114,668.60 is: 158,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,161.96 : 290,023.08 = 114,668.60 : x
  2. Step 2: Convert to fraction form
    210,161.96/290,023.08 = 114,668.60/x
  3. Step 3: Cross multiply
    210,161.96x = 290,023.08 × 114,668.60
  4. Step 4: Simplify right side
    210,161.96x = 33,256,540,551.29
  5. Step 5: Solve for x
    x = 33,256,540,551.29/210,161.96
  6. Step 6: Final answer
    x = 158,242.44

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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.