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Finding the Fourth Proportional to 185,051.64, 277,535.94 and 85,115.82

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Solution

The fourth proportional to 185,051.64, 277,535.94 and 85,115.82 is: 127,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,051.64 : 277,535.94 = 85,115.82 : x
  2. Step 2: Convert to fraction form
    185,051.64/277,535.94 = 85,115.82/x
  3. Step 3: Cross multiply
    185,051.64x = 277,535.94 × 85,115.82
  4. Step 4: Simplify right side
    185,051.64x = 23,622,699,112.57
  5. Step 5: Solve for x
    x = 23,622,699,112.57/185,051.64
  6. Step 6: Final answer
    x = 127,654.63

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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.