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Finding the Fourth Proportional to 105,731.63, 145,917.38 and 60,408.63

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Solution

The fourth proportional to 105,731.63, 145,917.38 and 60,408.63 is: 83,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731.63 : 145,917.38 = 60,408.63 : x
  2. Step 2: Convert to fraction form
    105,731.63/145,917.38 = 60,408.63/x
  3. Step 3: Cross multiply
    105,731.63x = 145,917.38 × 60,408.63
  4. Step 4: Simplify right side
    105,731.63x = 8,814,669,532.92
  5. Step 5: Solve for x
    x = 8,814,669,532.92/105,731.63
  6. Step 6: Final answer
    x = 83,368.33

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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.