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Finding the Fourth Proportional to 277,252.82, 382,609.80 and 149,929.32

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Solution

The fourth proportional to 277,252.82, 382,609.80 and 149,929.32 is: 206,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,252.82 : 382,609.80 = 149,929.32 : x
  2. Step 2: Convert to fraction form
    277,252.82/382,609.80 = 149,929.32/x
  3. Step 3: Cross multiply
    277,252.82x = 382,609.80 × 149,929.32
  4. Step 4: Simplify right side
    277,252.82x = 57,364,427,139.34
  5. Step 5: Solve for x
    x = 57,364,427,139.34/277,252.82
  6. Step 6: Final answer
    x = 206,902.95

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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.