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Finding the Fourth Proportional to 230,961.80, 346,442.70 and 164,039.60

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Solution

The fourth proportional to 230,961.80, 346,442.70 and 164,039.60 is: 246,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,961.80 : 346,442.70 = 164,039.60 : x
  2. Step 2: Convert to fraction form
    230,961.80/346,442.70 = 164,039.60/x
  3. Step 3: Cross multiply
    230,961.80x = 346,442.70 × 164,039.60
  4. Step 4: Simplify right side
    230,961.80x = 56,830,321,930.92
  5. Step 5: Solve for x
    x = 56,830,321,930.92/230,961.80
  6. Step 6: Final answer
    x = 246,059.40

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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.