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Finding the Fourth Proportional to 210,691.56, 290,752.38 and 115,197.24

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Solution

The fourth proportional to 210,691.56, 290,752.38 and 115,197.24 is: 158,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,691.56 : 290,752.38 = 115,197.24 : x
  2. Step 2: Convert to fraction form
    210,691.56/290,752.38 = 115,197.24/x
  3. Step 3: Cross multiply
    210,691.56x = 290,752.38 × 115,197.24
  4. Step 4: Simplify right side
    210,691.56x = 33,493,871,699.43
  5. Step 5: Solve for x
    x = 33,493,871,699.43/210,691.56
  6. Step 6: Final answer
    x = 158,971.11

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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.