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Finding the Fourth Proportional to 212,874.85, 293,767.91 and 117,379.45

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Solution

The fourth proportional to 212,874.85, 293,767.91 and 117,379.45 is: 161,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,874.85 : 293,767.91 = 117,379.45 : x
  2. Step 2: Convert to fraction form
    212,874.85/293,767.91 = 117,379.45/x
  3. Step 3: Cross multiply
    212,874.85x = 293,767.91 × 117,379.45
  4. Step 4: Simplify right side
    212,874.85x = 34,482,315,703.45
  5. Step 5: Solve for x
    x = 34,482,315,703.45/212,874.85
  6. Step 6: Final answer
    x = 161,983.98

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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.