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Finding the Fourth Proportional to 212,285.73, 292,954.30 and 116,790.38

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Solution

The fourth proportional to 212,285.73, 292,954.30 and 116,790.38 is: 161,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,285.73 : 292,954.30 = 116,790.38 : x
  2. Step 2: Convert to fraction form
    212,285.73/292,954.30 = 116,790.38/x
  3. Step 3: Cross multiply
    212,285.73x = 292,954.30 × 116,790.38
  4. Step 4: Simplify right side
    212,285.73x = 34,214,241,970.91
  5. Step 5: Solve for x
    x = 34,214,241,970.91/212,285.73
  6. Step 6: Final answer
    x = 161,170.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.