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Finding the Fourth Proportional to 212,865.68, 293,767.88 and 117,372.24

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Solution

The fourth proportional to 212,865.68, 293,767.88 and 117,372.24 is: 161,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,865.68 : 293,767.88 = 117,372.24 : x
  2. Step 2: Convert to fraction form
    212,865.68/293,767.88 = 117,372.24/x
  3. Step 3: Cross multiply
    212,865.68x = 293,767.88 × 117,372.24
  4. Step 4: Simplify right side
    212,865.68x = 34,480,194,115.65
  5. Step 5: Solve for x
    x = 34,480,194,115.65/212,865.68
  6. Step 6: Final answer
    x = 161,980.99

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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.