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Finding the Fourth Proportional to 185,174.64, 277,704.56 and 66,830.60

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Solution

The fourth proportional to 185,174.64, 277,704.56 and 66,830.60 is: 100,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,174.64 : 277,704.56 = 66,830.60 : x
  2. Step 2: Convert to fraction form
    185,174.64/277,704.56 = 66,830.60/x
  3. Step 3: Cross multiply
    185,174.64x = 277,704.56 × 66,830.60
  4. Step 4: Simplify right side
    185,174.64x = 18,559,162,367.54
  5. Step 5: Solve for x
    x = 18,559,162,367.54/185,174.64
  6. Step 6: Final answer
    x = 100,225.18

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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.