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Finding the Fourth Proportional to 104,495.82, 144,205.29 and 56,750.10

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Solution

The fourth proportional to 104,495.82, 144,205.29 and 56,750.10 is: 78,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,495.82 : 144,205.29 = 56,750.10 : x
  2. Step 2: Convert to fraction form
    104,495.82/144,205.29 = 56,750.10/x
  3. Step 3: Cross multiply
    104,495.82x = 144,205.29 × 56,750.10
  4. Step 4: Simplify right side
    104,495.82x = 8,183,664,628.03
  5. Step 5: Solve for x
    x = 8,183,664,628.03/104,495.82
  6. Step 6: Final answer
    x = 78,315.71

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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.