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Finding the Fourth Proportional to 144,101.82, 215,709.80 and 122,844.18

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Solution

The fourth proportional to 144,101.82, 215,709.80 and 122,844.18 is: 183,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,101.82 : 215,709.80 = 122,844.18 : x
  2. Step 2: Convert to fraction form
    144,101.82/215,709.80 = 122,844.18/x
  3. Step 3: Cross multiply
    144,101.82x = 215,709.80 × 122,844.18
  4. Step 4: Simplify right side
    144,101.82x = 26,498,693,498.96
  5. Step 5: Solve for x
    x = 26,498,693,498.96/144,101.82
  6. Step 6: Final answer
    x = 183,888.68

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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.