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Finding the Fourth Proportional to 213,012, 319,337.52 and 142,676

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Solution

The fourth proportional to 213,012, 319,337.52 and 142,676 is: 213,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,012 : 319,337.52 = 142,676 : x
  2. Step 2: Convert to fraction form
    213,012/319,337.52 = 142,676/x
  3. Step 3: Cross multiply
    213,012x = 319,337.52 × 142,676
  4. Step 4: Simplify right side
    213,012x = 45,561,800,003.52
  5. Step 5: Solve for x
    x = 45,561,800,003.52/213,012
  6. Step 6: Final answer
    x = 213,893.11

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