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Finding the Fourth Proportional to 212,146, 292,761.54 and 116,659.24

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Solution

The fourth proportional to 212,146, 292,761.54 and 116,659.24 is: 160,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,146 : 292,761.54 = 116,659.24 : x
  2. Step 2: Convert to fraction form
    212,146/292,761.54 = 116,659.24/x
  3. Step 3: Cross multiply
    212,146x = 292,761.54 × 116,659.24
  4. Step 4: Simplify right side
    212,146x = 34,153,338,757.63
  5. Step 5: Solve for x
    x = 34,153,338,757.63/212,146
  6. Step 6: Final answer
    x = 160,989.78

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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.