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Finding the Fourth Proportional to 212,264.18, 292,913.97 and 116,768.42

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Solution

The fourth proportional to 212,264.18, 292,913.97 and 116,768.42 is: 161,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,264.18 : 292,913.97 = 116,768.42 : x
  2. Step 2: Convert to fraction form
    212,264.18/292,913.97 = 116,768.42/x
  3. Step 3: Cross multiply
    212,264.18x = 292,913.97 × 116,768.42
  4. Step 4: Simplify right side
    212,264.18x = 34,203,100,008.26
  5. Step 5: Solve for x
    x = 34,203,100,008.26/212,264.18
  6. Step 6: Final answer
    x = 161,134.59

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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.