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Finding the Fourth Proportional to 212,851.42, 293,748.20 and 117,357.97

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Solution

The fourth proportional to 212,851.42, 293,748.20 and 117,357.97 is: 161,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851.42 : 293,748.20 = 117,357.97 : x
  2. Step 2: Convert to fraction form
    212,851.42/293,748.20 = 117,357.97/x
  3. Step 3: Cross multiply
    212,851.42x = 293,748.20 × 117,357.97
  4. Step 4: Simplify right side
    212,851.42x = 34,473,692,443.15
  5. Step 5: Solve for x
    x = 34,473,692,443.15/212,851.42
  6. Step 6: Final answer
    x = 161,961.30

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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.