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Finding the Fourth Proportional to 230,734.20, 346,101.30 and 212,071.80

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Solution

The fourth proportional to 230,734.20, 346,101.30 and 212,071.80 is: 318,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,734.20 : 346,101.30 = 212,071.80 : x
  2. Step 2: Convert to fraction form
    230,734.20/346,101.30 = 212,071.80/x
  3. Step 3: Cross multiply
    230,734.20x = 346,101.30 × 212,071.80
  4. Step 4: Simplify right side
    230,734.20x = 73,398,325,673.34
  5. Step 5: Solve for x
    x = 73,398,325,673.34/230,734.20
  6. Step 6: Final answer
    x = 318,107.70

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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.