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Finding the Fourth Proportional to 147,076.40, 218,951.38 and 146,201.60

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Solution

The fourth proportional to 147,076.40, 218,951.38 and 146,201.60 is: 217,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,076.40 : 218,951.38 = 146,201.60 : x
  2. Step 2: Convert to fraction form
    147,076.40/218,951.38 = 146,201.60/x
  3. Step 3: Cross multiply
    147,076.40x = 218,951.38 × 146,201.60
  4. Step 4: Simplify right side
    147,076.40x = 32,011,042,078.21
  5. Step 5: Solve for x
    x = 32,011,042,078.21/147,076.40
  6. Step 6: Final answer
    x = 217,649.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.