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Finding the Fourth Proportional to 185,141, 277,653.90 and 66,796.84

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Solution

The fourth proportional to 185,141, 277,653.90 and 66,796.84 is: 100,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,141 : 277,653.90 = 66,796.84 : x
  2. Step 2: Convert to fraction form
    185,141/277,653.90 = 66,796.84/x
  3. Step 3: Cross multiply
    185,141x = 277,653.90 × 66,796.84
  4. Step 4: Simplify right side
    185,141x = 18,546,403,133.68
  5. Step 5: Solve for x
    x = 18,546,403,133.68/185,141
  6. Step 6: Final answer
    x = 100,174.48

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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.