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Finding the Fourth Proportional to 214,491.36, 296,012.10 and 123,851.16

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Solution

The fourth proportional to 214,491.36, 296,012.10 and 123,851.16 is: 170,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.36 : 296,012.10 = 123,851.16 : x
  2. Step 2: Convert to fraction form
    214,491.36/296,012.10 = 123,851.16/x
  3. Step 3: Cross multiply
    214,491.36x = 296,012.10 × 123,851.16
  4. Step 4: Simplify right side
    214,491.36x = 36,661,441,959.04
  5. Step 5: Solve for x
    x = 36,661,441,959.04/214,491.36
  6. Step 6: Final answer
    x = 170,922.70

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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.