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Finding the Fourth Proportional to 212,340.54, 293,022.63 and 116,838.30

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Solution

The fourth proportional to 212,340.54, 293,022.63 and 116,838.30 is: 161,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,340.54 : 293,022.63 = 116,838.30 : x
  2. Step 2: Convert to fraction form
    212,340.54/293,022.63 = 116,838.30/x
  3. Step 3: Cross multiply
    212,340.54x = 293,022.63 × 116,838.30
  4. Step 4: Simplify right side
    212,340.54x = 34,236,265,950.73
  5. Step 5: Solve for x
    x = 34,236,265,950.73/212,340.54
  6. Step 6: Final answer
    x = 161,232.83

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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.