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Finding the Fourth Proportional to 104,568.34, 144,305.10 and 56,821.94

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Solution

The fourth proportional to 104,568.34, 144,305.10 and 56,821.94 is: 78,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,568.34 : 144,305.10 = 56,821.94 : x
  2. Step 2: Convert to fraction form
    104,568.34/144,305.10 = 56,821.94/x
  3. Step 3: Cross multiply
    104,568.34x = 144,305.10 × 56,821.94
  4. Step 4: Simplify right side
    104,568.34x = 8,199,695,449.78
  5. Step 5: Solve for x
    x = 8,199,695,449.78/104,568.34
  6. Step 6: Final answer
    x = 78,414.71

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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.