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Finding the Fourth Proportional to 212,867.82, 293,753.61 and 116,072.82

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Solution

The fourth proportional to 212,867.82, 293,753.61 and 116,072.82 is: 160,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,867.82 : 293,753.61 = 116,072.82 : x
  2. Step 2: Convert to fraction form
    212,867.82/293,753.61 = 116,072.82/x
  3. Step 3: Cross multiply
    212,867.82x = 293,753.61 × 116,072.82
  4. Step 4: Simplify right side
    212,867.82x = 34,096,809,897.88
  5. Step 5: Solve for x
    x = 34,096,809,897.88/212,867.82
  6. Step 6: Final answer
    x = 160,178.32

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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.