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Finding the Fourth Proportional to 212,180.34, 292,801.10 and 116,686.20

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Solution

The fourth proportional to 212,180.34, 292,801.10 and 116,686.20 is: 161,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,180.34 : 292,801.10 = 116,686.20 : x
  2. Step 2: Convert to fraction form
    212,180.34/292,801.10 = 116,686.20/x
  3. Step 3: Cross multiply
    212,180.34x = 292,801.10 × 116,686.20
  4. Step 4: Simplify right side
    212,180.34x = 34,165,847,714.82
  5. Step 5: Solve for x
    x = 34,165,847,714.82/212,180.34
  6. Step 6: Final answer
    x = 161,022.68

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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.