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Finding the Fourth Proportional to 230,084.02, 317,531.21 and 139,448.59

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Solution

The fourth proportional to 230,084.02, 317,531.21 and 139,448.59 is: 192,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,084.02 : 317,531.21 = 139,448.59 : x
  2. Step 2: Convert to fraction form
    230,084.02/317,531.21 = 139,448.59/x
  3. Step 3: Cross multiply
    230,084.02x = 317,531.21 × 139,448.59
  4. Step 4: Simplify right side
    230,084.02x = 44,279,279,201.02
  5. Step 5: Solve for x
    x = 44,279,279,201.02/230,084.02
  6. Step 6: Final answer
    x = 192,448.30

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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.