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Finding the Fourth Proportional to 230,296.14, 345,023.21 and 166,959.40

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Solution

The fourth proportional to 230,296.14, 345,023.21 and 166,959.40 is: 250,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,296.14 : 345,023.21 = 166,959.40 : x
  2. Step 2: Convert to fraction form
    230,296.14/345,023.21 = 166,959.40/x
  3. Step 3: Cross multiply
    230,296.14x = 345,023.21 × 166,959.40
  4. Step 4: Simplify right side
    230,296.14x = 57,604,868,127.67
  5. Step 5: Solve for x
    x = 57,604,868,127.67/230,296.14
  6. Step 6: Final answer
    x = 250,133.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.