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Finding the Fourth Proportional to 307,532.56, 461,376.54 and 85,916.56

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Solution

The fourth proportional to 307,532.56, 461,376.54 and 85,916.56 is: 128,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,532.56 : 461,376.54 = 85,916.56 : x
  2. Step 2: Convert to fraction form
    307,532.56/461,376.54 = 85,916.56/x
  3. Step 3: Cross multiply
    307,532.56x = 461,376.54 × 85,916.56
  4. Step 4: Simplify right side
    307,532.56x = 39,639,885,181.50
  5. Step 5: Solve for x
    x = 39,639,885,181.50/307,532.56
  6. Step 6: Final answer
    x = 128,896.55

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Why These Related Problems?

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