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Finding the Fourth Proportional to 214,512.22, 296,069.95 and 123,882.94

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Solution

The fourth proportional to 214,512.22, 296,069.95 and 123,882.94 is: 170,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512.22 : 296,069.95 = 123,882.94 : x
  2. Step 2: Convert to fraction form
    214,512.22/296,069.95 = 123,882.94/x
  3. Step 3: Cross multiply
    214,512.22x = 296,069.95 × 123,882.94
  4. Step 4: Simplify right side
    214,512.22x = 36,678,015,851.65
  5. Step 5: Solve for x
    x = 36,678,015,851.65/214,512.22
  6. Step 6: Final answer
    x = 170,983.34

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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.