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Finding the Fourth Proportional to 212,418.14, 293,102.74 and 121,757.42

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Solution

The fourth proportional to 212,418.14, 293,102.74 and 121,757.42 is: 168,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,418.14 : 293,102.74 = 121,757.42 : x
  2. Step 2: Convert to fraction form
    212,418.14/293,102.74 = 121,757.42/x
  3. Step 3: Cross multiply
    212,418.14x = 293,102.74 × 121,757.42
  4. Step 4: Simplify right side
    212,418.14x = 35,687,432,808.54
  5. Step 5: Solve for x
    x = 35,687,432,808.54/212,418.14
  6. Step 6: Final answer
    x = 168,005.58

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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.