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Finding the Fourth Proportional to 234,207, 351,309.90 and 180,976.38

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Solution

The fourth proportional to 234,207, 351,309.90 and 180,976.38 is: 271,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,207 : 351,309.90 = 180,976.38 : x
  2. Step 2: Convert to fraction form
    234,207/351,309.90 = 180,976.38/x
  3. Step 3: Cross multiply
    234,207x = 351,309.90 × 180,976.38
  4. Step 4: Simplify right side
    234,207x = 63,578,793,960.16
  5. Step 5: Solve for x
    x = 63,578,793,960.16/234,207
  6. Step 6: Final answer
    x = 271,464.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.