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Finding the Fourth Proportional to 98,576.44, 148,173.30 and 65,057.85

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Solution

The fourth proportional to 98,576.44, 148,173.30 and 65,057.85 is: 97,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.44 : 148,173.30 = 65,057.85 : x
  2. Step 2: Convert to fraction form
    98,576.44/148,173.30 = 65,057.85/x
  3. Step 3: Cross multiply
    98,576.44x = 148,173.30 × 65,057.85
  4. Step 4: Simplify right side
    98,576.44x = 9,639,836,325.41
  5. Step 5: Solve for x
    x = 9,639,836,325.41/98,576.44
  6. Step 6: Final answer
    x = 97,790.47

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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.