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Finding the Fourth Proportional to 194,696.49, 292,044.76 and 82,347.57

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Solution

The fourth proportional to 194,696.49, 292,044.76 and 82,347.57 is: 123,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,696.49 : 292,044.76 = 82,347.57 : x
  2. Step 2: Convert to fraction form
    194,696.49/292,044.76 = 82,347.57/x
  3. Step 3: Cross multiply
    194,696.49x = 292,044.76 × 82,347.57
  4. Step 4: Simplify right side
    194,696.49x = 24,049,176,111.36
  5. Step 5: Solve for x
    x = 24,049,176,111.36/194,696.49
  6. Step 6: Final answer
    x = 123,521.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.