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Finding the Fourth Proportional to 212,521.38, 293,279.50 and 117,027.84

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Solution

The fourth proportional to 212,521.38, 293,279.50 and 117,027.84 is: 161,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,521.38 : 293,279.50 = 117,027.84 : x
  2. Step 2: Convert to fraction form
    212,521.38/293,279.50 = 117,027.84/x
  3. Step 3: Cross multiply
    212,521.38x = 293,279.50 × 117,027.84
  4. Step 4: Simplify right side
    212,521.38x = 34,321,866,401.28
  5. Step 5: Solve for x
    x = 34,321,866,401.28/212,521.38
  6. Step 6: Final answer
    x = 161,498.42

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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.