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Finding the Fourth Proportional to 210,513.56, 290,505.29 and 115,018.20

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Solution

The fourth proportional to 210,513.56, 290,505.29 and 115,018.20 is: 158,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,513.56 : 290,505.29 = 115,018.20 : x
  2. Step 2: Convert to fraction form
    210,513.56/290,505.29 = 115,018.20/x
  3. Step 3: Cross multiply
    210,513.56x = 290,505.29 × 115,018.20
  4. Step 4: Simplify right side
    210,513.56x = 33,413,394,971.19
  5. Step 5: Solve for x
    x = 33,413,394,971.19/210,513.56
  6. Step 6: Final answer
    x = 158,723.25

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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.