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Finding the Fourth Proportional to 212,813.67, 293,684.84 and 117,323.79

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Solution

The fourth proportional to 212,813.67, 293,684.84 and 117,323.79 is: 161,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813.67 : 293,684.84 = 117,323.79 : x
  2. Step 2: Convert to fraction form
    212,813.67/293,684.84 = 117,323.79/x
  3. Step 3: Cross multiply
    212,813.67x = 293,684.84 × 117,323.79
  4. Step 4: Simplify right side
    212,813.67x = 34,456,217,907.72
  5. Step 5: Solve for x
    x = 34,456,217,907.72/212,813.67
  6. Step 6: Final answer
    x = 161,907.92

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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.