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Finding the Fourth Proportional to 212,640.64, 293,442.72 and 117,145.12

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Solution

The fourth proportional to 212,640.64, 293,442.72 and 117,145.12 is: 161,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,640.64 : 293,442.72 = 117,145.12 : x
  2. Step 2: Convert to fraction form
    212,640.64/293,442.72 = 117,145.12/x
  3. Step 3: Cross multiply
    212,640.64x = 293,442.72 × 117,145.12
  4. Step 4: Simplify right side
    212,640.64x = 34,375,382,647.53
  5. Step 5: Solve for x
    x = 34,375,382,647.53/212,640.64
  6. Step 6: Final answer
    x = 161,659.51

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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.