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Finding the Fourth Proportional to 277,013.73, 382,255.97 and 156,184.73

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Solution

The fourth proportional to 277,013.73, 382,255.97 and 156,184.73 is: 215,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,013.73 : 382,255.97 = 156,184.73 : x
  2. Step 2: Convert to fraction form
    277,013.73/382,255.97 = 156,184.73/x
  3. Step 3: Cross multiply
    277,013.73x = 382,255.97 × 156,184.73
  4. Step 4: Simplify right side
    277,013.73x = 59,702,542,773.13
  5. Step 5: Solve for x
    x = 59,702,542,773.13/277,013.73
  6. Step 6: Final answer
    x = 215,521.96

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1.5x scale

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.