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Finding the Fourth Proportional to 211,863, 292,371.21 and 116,371.56

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Solution

The fourth proportional to 211,863, 292,371.21 and 116,371.56 is: 160,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,863 : 292,371.21 = 116,371.56 : x
  2. Step 2: Convert to fraction form
    211,863/292,371.21 = 116,371.56/x
  3. Step 3: Cross multiply
    211,863x = 292,371.21 × 116,371.56
  4. Step 4: Simplify right side
    211,863x = 34,023,693,806.79
  5. Step 5: Solve for x
    x = 34,023,693,806.79/211,863
  6. Step 6: Final answer
    x = 160,592.90

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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.