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Finding the Fourth Proportional to 104,542.16, 144,268.30 and 56,795.54

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Solution

The fourth proportional to 104,542.16, 144,268.30 and 56,795.54 is: 78,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,542.16 : 144,268.30 = 56,795.54 : x
  2. Step 2: Convert to fraction form
    104,542.16/144,268.30 = 56,795.54/x
  3. Step 3: Cross multiply
    104,542.16x = 144,268.30 × 56,795.54
  4. Step 4: Simplify right side
    104,542.16x = 8,193,796,003.38
  5. Step 5: Solve for x
    x = 8,193,796,003.38/104,542.16
  6. Step 6: Final answer
    x = 78,377.91

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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.