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Finding the Fourth Proportional to 230,673.26, 345,970 and 104,284.12

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Solution

The fourth proportional to 230,673.26, 345,970 and 104,284.12 is: 156,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,673.26 : 345,970 = 104,284.12 : x
  2. Step 2: Convert to fraction form
    230,673.26/345,970 = 104,284.12/x
  3. Step 3: Cross multiply
    230,673.26x = 345,970 × 104,284.12
  4. Step 4: Simplify right side
    230,673.26x = 36,079,176,996.40
  5. Step 5: Solve for x
    x = 36,079,176,996.40/230,673.26
  6. Step 6: Final answer
    x = 156,408.15

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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.