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Finding the Fourth Proportional to 212,872.85, 293,765.15 and 117,377.45

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Solution

The fourth proportional to 212,872.85, 293,765.15 and 117,377.45 is: 161,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.85 : 293,765.15 = 117,377.45 : x
  2. Step 2: Convert to fraction form
    212,872.85/293,765.15 = 117,377.45/x
  3. Step 3: Cross multiply
    212,872.85x = 293,765.15 × 117,377.45
  4. Step 4: Simplify right side
    212,872.85x = 34,481,403,618.98
  5. Step 5: Solve for x
    x = 34,481,403,618.98/212,872.85
  6. Step 6: Final answer
    x = 161,981.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.