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Finding the Fourth Proportional to 277,135.56, 382,450.59 and 168,208.38

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Solution

The fourth proportional to 277,135.56, 382,450.59 and 168,208.38 is: 232,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,135.56 : 382,450.59 = 168,208.38 : x
  2. Step 2: Convert to fraction form
    277,135.56/382,450.59 = 168,208.38/x
  3. Step 3: Cross multiply
    277,135.56x = 382,450.59 × 168,208.38
  4. Step 4: Simplify right side
    277,135.56x = 64,331,393,332.90
  5. Step 5: Solve for x
    x = 64,331,393,332.90/277,135.56
  6. Step 6: Final answer
    x = 232,129.70

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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.