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Finding the Fourth Proportional to 253,576.44, 350,013.24 and 146,217.96

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Solution

The fourth proportional to 253,576.44, 350,013.24 and 146,217.96 is: 201,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,576.44 : 350,013.24 = 146,217.96 : x
  2. Step 2: Convert to fraction form
    253,576.44/350,013.24 = 146,217.96/x
  3. Step 3: Cross multiply
    253,576.44x = 350,013.24 × 146,217.96
  4. Step 4: Simplify right side
    253,576.44x = 51,178,221,925.79
  5. Step 5: Solve for x
    x = 51,178,221,925.79/253,576.44
  6. Step 6: Final answer
    x = 201,825.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.