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Finding the Fourth Proportional to 212,201.43, 292,844.16 and 116,714.31

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Solution

The fourth proportional to 212,201.43, 292,844.16 and 116,714.31 is: 161,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,201.43 : 292,844.16 = 116,714.31 : x
  2. Step 2: Convert to fraction form
    212,201.43/292,844.16 = 116,714.31/x
  3. Step 3: Cross multiply
    212,201.43x = 292,844.16 × 116,714.31
  4. Step 4: Simplify right side
    212,201.43x = 34,179,104,071.93
  5. Step 5: Solve for x
    x = 34,179,104,071.93/212,201.43
  6. Step 6: Final answer
    x = 161,069.15

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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.