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Finding the Fourth Proportional to 277,195.82, 382,530.16 and 156,336.83

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Solution

The fourth proportional to 277,195.82, 382,530.16 and 156,336.83 is: 215,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,195.82 : 382,530.16 = 156,336.83 : x
  2. Step 2: Convert to fraction form
    277,195.82/382,530.16 = 156,336.83/x
  3. Step 3: Cross multiply
    277,195.82x = 382,530.16 × 156,336.83
  4. Step 4: Simplify right side
    277,195.82x = 59,803,554,462.78
  5. Step 5: Solve for x
    x = 59,803,554,462.78/277,195.82
  6. Step 6: Final answer
    x = 215,744.79

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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.