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Finding the Fourth Proportional to 185,092.88, 277,639.35 and 66,764.20

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Solution

The fourth proportional to 185,092.88, 277,639.35 and 66,764.20 is: 100,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,092.88 : 277,639.35 = 66,764.20 : x
  2. Step 2: Convert to fraction form
    185,092.88/277,639.35 = 66,764.20/x
  3. Step 3: Cross multiply
    185,092.88x = 277,639.35 × 66,764.20
  4. Step 4: Simplify right side
    185,092.88x = 18,536,370,084.08
  5. Step 5: Solve for x
    x = 18,536,370,084.08/185,092.88
  6. Step 6: Final answer
    x = 100,146.32

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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.