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Finding the Fourth Proportional to 253,046.46, 349,204.46 and 145,614.36

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Solution

The fourth proportional to 253,046.46, 349,204.46 and 145,614.36 is: 200,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,046.46 : 349,204.46 = 145,614.36 : x
  2. Step 2: Convert to fraction form
    253,046.46/349,204.46 = 145,614.36/x
  3. Step 3: Cross multiply
    253,046.46x = 349,204.46 × 145,614.36
  4. Step 4: Simplify right side
    253,046.46x = 50,849,183,223.97
  5. Step 5: Solve for x
    x = 50,849,183,223.97/253,046.46
  6. Step 6: Final answer
    x = 200,948.01

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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.