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Finding the Fourth Proportional to 212,874.60, 293,767.56 and 117,379.20

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Solution

The fourth proportional to 212,874.60, 293,767.56 and 117,379.20 is: 161,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,874.60 : 293,767.56 = 117,379.20 : x
  2. Step 2: Convert to fraction form
    212,874.60/293,767.56 = 117,379.20/x
  3. Step 3: Cross multiply
    212,874.60x = 293,767.56 × 117,379.20
  4. Step 4: Simplify right side
    212,874.60x = 34,482,201,178.75
  5. Step 5: Solve for x
    x = 34,482,201,178.75/212,874.60
  6. Step 6: Final answer
    x = 161,983.63

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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.