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Finding the Fourth Proportional to 171,476, 236,637 and 96,026.24

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Solution

The fourth proportional to 171,476, 236,637 and 96,026.24 is: 132,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,476 : 236,637 = 96,026.24 : x
  2. Step 2: Convert to fraction form
    171,476/236,637 = 96,026.24/x
  3. Step 3: Cross multiply
    171,476x = 236,637 × 96,026.24
  4. Step 4: Simplify right side
    171,476x = 22,723,361,354.88
  5. Step 5: Solve for x
    x = 22,723,361,354.88/171,476
  6. Step 6: Final answer
    x = 132,516.28

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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.