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Finding the Fourth Proportional to 212,213.82, 292,857.39 and 116,721.30

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Solution

The fourth proportional to 212,213.82, 292,857.39 and 116,721.30 is: 161,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,213.82 : 292,857.39 = 116,721.30 : x
  2. Step 2: Convert to fraction form
    212,213.82/292,857.39 = 116,721.30/x
  3. Step 3: Cross multiply
    212,213.82x = 292,857.39 × 116,721.30
  4. Step 4: Simplify right side
    212,213.82x = 34,182,695,275.41
  5. Step 5: Solve for x
    x = 34,182,695,275.41/212,213.82
  6. Step 6: Final answer
    x = 161,076.67

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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.