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Finding the Fourth Proportional to 213,257.67, 294,293.73 and 117,762.31

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Solution

The fourth proportional to 213,257.67, 294,293.73 and 117,762.31 is: 162,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,257.67 : 294,293.73 = 117,762.31 : x
  2. Step 2: Convert to fraction form
    213,257.67/294,293.73 = 117,762.31/x
  3. Step 3: Cross multiply
    213,257.67x = 294,293.73 × 117,762.31
  4. Step 4: Simplify right side
    213,257.67x = 34,656,709,463.32
  5. Step 5: Solve for x
    x = 34,656,709,463.32/213,257.67
  6. Step 6: Final answer
    x = 162,510.96

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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.