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Finding the Fourth Proportional to 230,694.30, 345,918.06 and 118,328.58

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Solution

The fourth proportional to 230,694.30, 345,918.06 and 118,328.58 is: 177,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,694.30 : 345,918.06 = 118,328.58 : x
  2. Step 2: Convert to fraction form
    230,694.30/345,918.06 = 118,328.58/x
  3. Step 3: Cross multiply
    230,694.30x = 345,918.06 × 118,328.58
  4. Step 4: Simplify right side
    230,694.30x = 40,931,992,836.15
  5. Step 5: Solve for x
    x = 40,931,992,836.15/230,694.30
  6. Step 6: Final answer
    x = 177,429.58

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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.