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Finding the Fourth Proportional to 104,609.65, 144,361.84 and 56,863

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Solution

The fourth proportional to 104,609.65, 144,361.84 and 56,863 is: 78,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,609.65 : 144,361.84 = 56,863 : x
  2. Step 2: Convert to fraction form
    104,609.65/144,361.84 = 56,863/x
  3. Step 3: Cross multiply
    104,609.65x = 144,361.84 × 56,863
  4. Step 4: Simplify right side
    104,609.65x = 8,208,847,023.61
  5. Step 5: Solve for x
    x = 8,208,847,023.61/104,609.65
  6. Step 6: Final answer
    x = 78,471.22

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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.