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Finding the Fourth Proportional to 104,722.56, 144,515.54 and 56,974.82

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Solution

The fourth proportional to 104,722.56, 144,515.54 and 56,974.82 is: 78,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,722.56 : 144,515.54 = 56,974.82 : x
  2. Step 2: Convert to fraction form
    104,722.56/144,515.54 = 56,974.82/x
  3. Step 3: Cross multiply
    104,722.56x = 144,515.54 × 56,974.82
  4. Step 4: Simplify right side
    104,722.56x = 8,233,745,871.25
  5. Step 5: Solve for x
    x = 8,233,745,871.25/104,722.56
  6. Step 6: Final answer
    x = 78,624.38

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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.