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Finding the Fourth Proportional to 212,790.94, 293,651.41 and 117,299.23

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Solution

The fourth proportional to 212,790.94, 293,651.41 and 117,299.23 is: 161,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,790.94 : 293,651.41 = 117,299.23 : x
  2. Step 2: Convert to fraction form
    212,790.94/293,651.41 = 117,299.23/x
  3. Step 3: Cross multiply
    212,790.94x = 293,651.41 × 117,299.23
  4. Step 4: Simplify right side
    212,790.94x = 34,445,084,281.41
  5. Step 5: Solve for x
    x = 34,445,084,281.41/212,790.94
  6. Step 6: Final answer
    x = 161,872.89

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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.