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Finding the Fourth Proportional to 212,178.14, 292,799.13 and 116,684.54

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Solution

The fourth proportional to 212,178.14, 292,799.13 and 116,684.54 is: 161,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,178.14 : 292,799.13 = 116,684.54 : x
  2. Step 2: Convert to fraction form
    212,178.14/292,799.13 = 116,684.54/x
  3. Step 3: Cross multiply
    212,178.14x = 292,799.13 × 116,684.54
  4. Step 4: Simplify right side
    212,178.14x = 34,165,131,796.45
  5. Step 5: Solve for x
    x = 34,165,131,796.45/212,178.14
  6. Step 6: Final answer
    x = 161,020.98

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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.