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Finding the Fourth Proportional to 277,261.52, 382,718.94 and 164,084

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Solution

The fourth proportional to 277,261.52, 382,718.94 and 164,084 is: 226,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,261.52 : 382,718.94 = 164,084 : x
  2. Step 2: Convert to fraction form
    277,261.52/382,718.94 = 164,084/x
  3. Step 3: Cross multiply
    277,261.52x = 382,718.94 × 164,084
  4. Step 4: Simplify right side
    277,261.52x = 62,798,054,550.96
  5. Step 5: Solve for x
    x = 62,798,054,550.96/277,261.52
  6. Step 6: Final answer
    x = 226,493.94

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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.