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Finding the Fourth Proportional to 212,874.75, 293,769.18 and 117,384.66

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Solution

The fourth proportional to 212,874.75, 293,769.18 and 117,384.66 is: 161,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,874.75 : 293,769.18 = 117,384.66 : x
  2. Step 2: Convert to fraction form
    212,874.75/293,769.18 = 117,384.66/x
  3. Step 3: Cross multiply
    212,874.75x = 293,769.18 × 117,384.66
  4. Step 4: Simplify right side
    212,874.75x = 34,483,995,312.78
  5. Step 5: Solve for x
    x = 34,483,995,312.78/212,874.75
  6. Step 6: Final answer
    x = 161,991.95

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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.