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Finding the Fourth Proportional to 210,609.48, 290,630.96 and 115,116.20

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Solution

The fourth proportional to 210,609.48, 290,630.96 and 115,116.20 is: 158,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,609.48 : 290,630.96 = 115,116.20 : x
  2. Step 2: Convert to fraction form
    210,609.48/290,630.96 = 115,116.20/x
  3. Step 3: Cross multiply
    210,609.48x = 290,630.96 × 115,116.20
  4. Step 4: Simplify right side
    210,609.48x = 33,456,331,717.55
  5. Step 5: Solve for x
    x = 33,456,331,717.55/210,609.48
  6. Step 6: Final answer
    x = 158,854.82

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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.