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Finding the Fourth Proportional to 104,716.50, 144,510.24 and 56,969.82

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Solution

The fourth proportional to 104,716.50, 144,510.24 and 56,969.82 is: 78,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,716.50 : 144,510.24 = 56,969.82 : x
  2. Step 2: Convert to fraction form
    104,716.50/144,510.24 = 56,969.82/x
  3. Step 3: Cross multiply
    104,716.50x = 144,510.24 × 56,969.82
  4. Step 4: Simplify right side
    104,716.50x = 8,232,722,360.96
  5. Step 5: Solve for x
    x = 8,232,722,360.96/104,716.50
  6. Step 6: Final answer
    x = 78,619.15

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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.