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Finding the Fourth Proportional to 214,491.12, 296,011.74 and 123,850.90

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Solution

The fourth proportional to 214,491.12, 296,011.74 and 123,850.90 is: 170,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.12 : 296,011.74 = 123,850.90 : x
  2. Step 2: Convert to fraction form
    214,491.12/296,011.74 = 123,850.90/x
  3. Step 3: Cross multiply
    214,491.12x = 296,011.74 × 123,850.90
  4. Step 4: Simplify right side
    214,491.12x = 36,661,320,409.57
  5. Step 5: Solve for x
    x = 36,661,320,409.57/214,491.12
  6. Step 6: Final answer
    x = 170,922.32

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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.