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Finding the Fourth Proportional to 119,022.16, 178,532.42 and 30,274.50

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Solution

The fourth proportional to 119,022.16, 178,532.42 and 30,274.50 is: 45,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,022.16 : 178,532.42 = 30,274.50 : x
  2. Step 2: Convert to fraction form
    119,022.16/178,532.42 = 30,274.50/x
  3. Step 3: Cross multiply
    119,022.16x = 178,532.42 × 30,274.50
  4. Step 4: Simplify right side
    119,022.16x = 5,404,979,749.29
  5. Step 5: Solve for x
    x = 5,404,979,749.29/119,022.16
  6. Step 6: Final answer
    x = 45,411.54

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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.