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Finding the Fourth Proportional to 210,308.36, 290,229.92 and 114,819.08

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Solution

The fourth proportional to 210,308.36, 290,229.92 and 114,819.08 is: 158,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,308.36 : 290,229.92 = 114,819.08 : x
  2. Step 2: Convert to fraction form
    210,308.36/290,229.92 = 114,819.08/x
  3. Step 3: Cross multiply
    210,308.36x = 290,229.92 × 114,819.08
  4. Step 4: Simplify right side
    210,308.36x = 33,323,932,402.87
  5. Step 5: Solve for x
    x = 33,323,932,402.87/210,308.36
  6. Step 6: Final answer
    x = 158,452.72

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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.