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Finding the Fourth Proportional to 277,844.28, 383,402.28 and 156,996

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Solution

The fourth proportional to 277,844.28, 383,402.28 and 156,996 is: 216,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844.28 : 383,402.28 = 156,996 : x
  2. Step 2: Convert to fraction form
    277,844.28/383,402.28 = 156,996/x
  3. Step 3: Cross multiply
    277,844.28x = 383,402.28 × 156,996
  4. Step 4: Simplify right side
    277,844.28x = 60,192,624,350.88
  5. Step 5: Solve for x
    x = 60,192,624,350.88/277,844.28
  6. Step 6: Final answer
    x = 216,641.58

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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.