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Finding the Fourth Proportional to 375,945.78, 563,951.79 and 106,076.28

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Solution

The fourth proportional to 375,945.78, 563,951.79 and 106,076.28 is: 159,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,945.78 : 563,951.79 = 106,076.28 : x
  2. Step 2: Convert to fraction form
    375,945.78/563,951.79 = 106,076.28/x
  3. Step 3: Cross multiply
    375,945.78x = 563,951.79 × 106,076.28
  4. Step 4: Simplify right side
    375,945.78x = 59,821,907,982.54
  5. Step 5: Solve for x
    x = 59,821,907,982.54/375,945.78
  6. Step 6: Final answer
    x = 159,123.77

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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.