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Finding the Fourth Proportional to 136,695.21, 205,111.97 and 92,228.51

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Solution

The fourth proportional to 136,695.21, 205,111.97 and 92,228.51 is: 138,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695.21 : 205,111.97 = 92,228.51 : x
  2. Step 2: Convert to fraction form
    136,695.21/205,111.97 = 92,228.51/x
  3. Step 3: Cross multiply
    136,695.21x = 205,111.97 × 92,228.51
  4. Step 4: Simplify right side
    136,695.21x = 18,917,171,376.26
  5. Step 5: Solve for x
    x = 18,917,171,376.26/136,695.21
  6. Step 6: Final answer
    x = 138,389.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.