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Finding the Fourth Proportional to 212,428.51, 293,157.49 and 115,638.65

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Solution

The fourth proportional to 212,428.51, 293,157.49 and 115,638.65 is: 159,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,428.51 : 293,157.49 = 115,638.65 : x
  2. Step 2: Convert to fraction form
    212,428.51/293,157.49 = 115,638.65/x
  3. Step 3: Cross multiply
    212,428.51x = 293,157.49 × 115,638.65
  4. Step 4: Simplify right side
    212,428.51x = 33,900,336,517.14
  5. Step 5: Solve for x
    x = 33,900,336,517.14/212,428.51
  6. Step 6: Final answer
    x = 159,584.68

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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.