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Finding the Fourth Proportional to 210,797.96, 290,895 and 115,302.59

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Solution

The fourth proportional to 210,797.96, 290,895 and 115,302.59 is: 159,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,797.96 : 290,895 = 115,302.59 : x
  2. Step 2: Convert to fraction form
    210,797.96/290,895 = 115,302.59/x
  3. Step 3: Cross multiply
    210,797.96x = 290,895 × 115,302.59
  4. Step 4: Simplify right side
    210,797.96x = 33,540,946,918.05
  5. Step 5: Solve for x
    x = 33,540,946,918.05/210,797.96
  6. Step 6: Final answer
    x = 159,114.19

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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.