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Finding the Fourth Proportional to 104,926.41, 144,853.29 and 81,591.12

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Solution

The fourth proportional to 104,926.41, 144,853.29 and 81,591.12 is: 112,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,926.41 : 144,853.29 = 81,591.12 : x
  2. Step 2: Convert to fraction form
    104,926.41/144,853.29 = 81,591.12/x
  3. Step 3: Cross multiply
    104,926.41x = 144,853.29 × 81,591.12
  4. Step 4: Simplify right side
    104,926.41x = 11,818,742,166.78
  5. Step 5: Solve for x
    x = 11,818,742,166.78/104,926.41
  6. Step 6: Final answer
    x = 112,638.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.