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Finding the Fourth Proportional to 185,151.28, 277,693.80 and 85,307.44

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Solution

The fourth proportional to 185,151.28, 277,693.80 and 85,307.44 is: 127,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,151.28 : 277,693.80 = 85,307.44 : x
  2. Step 2: Convert to fraction form
    185,151.28/277,693.80 = 85,307.44/x
  3. Step 3: Cross multiply
    185,151.28x = 277,693.80 × 85,307.44
  4. Step 4: Simplify right side
    185,151.28x = 23,689,347,181.87
  5. Step 5: Solve for x
    x = 23,689,347,181.87/185,151.28
  6. Step 6: Final answer
    x = 127,945.90

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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.