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Finding the Fourth Proportional to 119,007.50, 178,511.92 and 30,261.06

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Solution

The fourth proportional to 119,007.50, 178,511.92 and 30,261.06 is: 45,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,007.50 : 178,511.92 = 30,261.06 : x
  2. Step 2: Convert to fraction form
    119,007.50/178,511.92 = 30,261.06/x
  3. Step 3: Cross multiply
    119,007.50x = 178,511.92 × 30,261.06
  4. Step 4: Simplify right side
    119,007.50x = 5,401,959,921.84
  5. Step 5: Solve for x
    x = 5,401,959,921.84/119,007.50
  6. Step 6: Final answer
    x = 45,391.76

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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.