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Finding the Fourth Proportional to 212,711, 293,539.92 and 115,914.65

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Solution

The fourth proportional to 212,711, 293,539.92 and 115,914.65 is: 159,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711 : 293,539.92 = 115,914.65 : x
  2. Step 2: Convert to fraction form
    212,711/293,539.92 = 115,914.65/x
  3. Step 3: Cross multiply
    212,711x = 293,539.92 × 115,914.65
  4. Step 4: Simplify right side
    212,711x = 34,025,577,087.83
  5. Step 5: Solve for x
    x = 34,025,577,087.83/212,711
  6. Step 6: Final answer
    x = 159,961.53

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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.