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Finding the Fourth Proportional to 212,338.64, 293,010.12 and 116,830.16

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Solution

The fourth proportional to 212,338.64, 293,010.12 and 116,830.16 is: 161,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,338.64 : 293,010.12 = 116,830.16 : x
  2. Step 2: Convert to fraction form
    212,338.64/293,010.12 = 116,830.16/x
  3. Step 3: Cross multiply
    212,338.64x = 293,010.12 × 116,830.16
  4. Step 4: Simplify right side
    212,338.64x = 34,232,419,201.22
  5. Step 5: Solve for x
    x = 34,232,419,201.22/212,338.64
  6. Step 6: Final answer
    x = 161,216.16

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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.