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Finding the Fourth Proportional to 212,520.38, 293,278.12 and 117,026.84

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Solution

The fourth proportional to 212,520.38, 293,278.12 and 117,026.84 is: 161,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,520.38 : 293,278.12 = 117,026.84 : x
  2. Step 2: Convert to fraction form
    212,520.38/293,278.12 = 117,026.84/x
  3. Step 3: Cross multiply
    212,520.38x = 293,278.12 × 117,026.84
  4. Step 4: Simplify right side
    212,520.38x = 34,321,412,065.37
  5. Step 5: Solve for x
    x = 34,321,412,065.37/212,520.38
  6. Step 6: Final answer
    x = 161,497.04

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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.