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Finding the Fourth Proportional to 277,234.47, 382,583.12 and 156,375.38

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Solution

The fourth proportional to 277,234.47, 382,583.12 and 156,375.38 is: 215,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,234.47 : 382,583.12 = 156,375.38 : x
  2. Step 2: Convert to fraction form
    277,234.47/382,583.12 = 156,375.38/x
  3. Step 3: Cross multiply
    277,234.47x = 382,583.12 × 156,375.38
  4. Step 4: Simplify right side
    277,234.47x = 59,826,580,946.17
  5. Step 5: Solve for x
    x = 59,826,580,946.17/277,234.47
  6. Step 6: Final answer
    x = 215,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.