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Finding the Fourth Proportional to 213,389.98, 294,453.07 and 117,890.98

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Solution

The fourth proportional to 213,389.98, 294,453.07 and 117,890.98 is: 162,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,389.98 : 294,453.07 = 117,890.98 : x
  2. Step 2: Convert to fraction form
    213,389.98/294,453.07 = 117,890.98/x
  3. Step 3: Cross multiply
    213,389.98x = 294,453.07 × 117,890.98
  4. Step 4: Simplify right side
    213,389.98x = 34,713,360,986.31
  5. Step 5: Solve for x
    x = 34,713,360,986.31/213,389.98
  6. Step 6: Final answer
    x = 162,675.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.