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Finding the Fourth Proportional to 213,277.41, 319,883.31 and 71,125.17

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Solution

The fourth proportional to 213,277.41, 319,883.31 and 71,125.17 is: 106,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.41 : 319,883.31 = 71,125.17 : x
  2. Step 2: Convert to fraction form
    213,277.41/319,883.31 = 71,125.17/x
  3. Step 3: Cross multiply
    213,277.41x = 319,883.31 × 71,125.17
  4. Step 4: Simplify right side
    213,277.41x = 22,751,754,803.91
  5. Step 5: Solve for x
    x = 22,751,754,803.91/213,277.41
  6. Step 6: Final answer
    x = 106,676.81

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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.