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Finding the Fourth Proportional to 105,103.32, 144,796.14 and 73,214.52

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Solution

The fourth proportional to 105,103.32, 144,796.14 and 73,214.52 is: 100,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.32 : 144,796.14 = 73,214.52 : x
  2. Step 2: Convert to fraction form
    105,103.32/144,796.14 = 73,214.52/x
  3. Step 3: Cross multiply
    105,103.32x = 144,796.14 × 73,214.52
  4. Step 4: Simplify right side
    105,103.32x = 10,601,179,887.95
  5. Step 5: Solve for x
    x = 10,601,179,887.95/105,103.32
  6. Step 6: Final answer
    x = 100,864.37

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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.