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Finding the Fourth Proportional to 277,152.74, 382,471.83 and 154,650.29

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Solution

The fourth proportional to 277,152.74, 382,471.83 and 154,650.29 is: 213,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,152.74 : 382,471.83 = 154,650.29 : x
  2. Step 2: Convert to fraction form
    277,152.74/382,471.83 = 154,650.29/x
  3. Step 3: Cross multiply
    277,152.74x = 382,471.83 × 154,650.29
  4. Step 4: Simplify right side
    277,152.74x = 59,149,377,513.97
  5. Step 5: Solve for x
    x = 59,149,377,513.97/277,152.74
  6. Step 6: Final answer
    x = 213,417.98

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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.