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Finding the Fourth Proportional to 212,328.90, 293,134.74 and 140,805.48

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Solution

The fourth proportional to 212,328.90, 293,134.74 and 140,805.48 is: 194,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,328.90 : 293,134.74 = 140,805.48 : x
  2. Step 2: Convert to fraction form
    212,328.90/293,134.74 = 140,805.48/x
  3. Step 3: Cross multiply
    212,328.90x = 293,134.74 × 140,805.48
  4. Step 4: Simplify right side
    212,328.90x = 41,274,977,770.38
  5. Step 5: Solve for x
    x = 41,274,977,770.38/212,328.90
  6. Step 6: Final answer
    x = 194,391.71

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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.