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Finding the Fourth Proportional to 211,726.30, 292,188.14 and 119,838.28

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Solution

The fourth proportional to 211,726.30, 292,188.14 and 119,838.28 is: 165,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,726.30 : 292,188.14 = 119,838.28 : x
  2. Step 2: Convert to fraction form
    211,726.30/292,188.14 = 119,838.28/x
  3. Step 3: Cross multiply
    211,726.30x = 292,188.14 × 119,838.28
  4. Step 4: Simplify right side
    211,726.30x = 35,015,324,433.59
  5. Step 5: Solve for x
    x = 35,015,324,433.59/211,726.30
  6. Step 6: Final answer
    x = 165,380.14

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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.