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Finding the Fourth Proportional to 277,179.73, 382,506.17 and 156,322.06

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Solution

The fourth proportional to 277,179.73, 382,506.17 and 156,322.06 is: 215,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,179.73 : 382,506.17 = 156,322.06 : x
  2. Step 2: Convert to fraction form
    277,179.73/382,506.17 = 156,322.06/x
  3. Step 3: Cross multiply
    277,179.73x = 382,506.17 × 156,322.06
  4. Step 4: Simplify right side
    277,179.73x = 59,794,150,719.23
  5. Step 5: Solve for x
    x = 59,794,150,719.23/277,179.73
  6. Step 6: Final answer
    x = 215,723.39

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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.