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Finding the Fourth Proportional to 232,884.27, 321,414.30 and 130,918.14

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Solution

The fourth proportional to 232,884.27, 321,414.30 and 130,918.14 is: 180,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884.27 : 321,414.30 = 130,918.14 : x
  2. Step 2: Convert to fraction form
    232,884.27/321,414.30 = 130,918.14/x
  3. Step 3: Cross multiply
    232,884.27x = 321,414.30 × 130,918.14
  4. Step 4: Simplify right side
    232,884.27x = 42,078,962,325.40
  5. Step 5: Solve for x
    x = 42,078,962,325.40/232,884.27
  6. Step 6: Final answer
    x = 180,686.15

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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.