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Finding the Fourth Proportional to 212,713.51, 293,540.87 and 115,918.23

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Solution

The fourth proportional to 212,713.51, 293,540.87 and 115,918.23 is: 159,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,713.51 : 293,540.87 = 115,918.23 : x
  2. Step 2: Convert to fraction form
    212,713.51/293,540.87 = 115,918.23/x
  3. Step 3: Cross multiply
    212,713.51x = 293,540.87 × 115,918.23
  4. Step 4: Simplify right side
    212,713.51x = 34,026,738,083.06
  5. Step 5: Solve for x
    x = 34,026,738,083.06/212,713.51
  6. Step 6: Final answer
    x = 159,965.10

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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.