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Finding the Fourth Proportional to 104,606.46, 144,357.78 and 56,859.84

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Solution

The fourth proportional to 104,606.46, 144,357.78 and 56,859.84 is: 78,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,606.46 : 144,357.78 = 56,859.84 : x
  2. Step 2: Convert to fraction form
    104,606.46/144,357.78 = 56,859.84/x
  3. Step 3: Cross multiply
    104,606.46x = 144,357.78 × 56,859.84
  4. Step 4: Simplify right side
    104,606.46x = 8,208,160,273.56
  5. Step 5: Solve for x
    x = 8,208,160,273.56/104,606.46
  6. Step 6: Final answer
    x = 78,467.05

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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.