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Finding the Fourth Proportional to 212,425.80, 293,147.52 and 116,932

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Solution

The fourth proportional to 212,425.80, 293,147.52 and 116,932 is: 161,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,425.80 : 293,147.52 = 116,932 : x
  2. Step 2: Convert to fraction form
    212,425.80/293,147.52 = 116,932/x
  3. Step 3: Cross multiply
    212,425.80x = 293,147.52 × 116,932
  4. Step 4: Simplify right side
    212,425.80x = 34,278,325,808.64
  5. Step 5: Solve for x
    x = 34,278,325,808.64/212,425.80
  6. Step 6: Final answer
    x = 161,366.11

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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.