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Finding the Fourth Proportional to 275,643.51, 413,493.86 and 75,963.93

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Solution

The fourth proportional to 275,643.51, 413,493.86 and 75,963.93 is: 113,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,643.51 : 413,493.86 = 75,963.93 : x
  2. Step 2: Convert to fraction form
    275,643.51/413,493.86 = 75,963.93/x
  3. Step 3: Cross multiply
    275,643.51x = 413,493.86 × 75,963.93
  4. Step 4: Simplify right side
    275,643.51x = 31,410,618,256.65
  5. Step 5: Solve for x
    x = 31,410,618,256.65/275,643.51
  6. Step 6: Final answer
    x = 113,953.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.