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Finding the Fourth Proportional to 171,570, 236,776.32 and 96,142.80

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Solution

The fourth proportional to 171,570, 236,776.32 and 96,142.80 is: 132,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,570 : 236,776.32 = 96,142.80 : x
  2. Step 2: Convert to fraction form
    171,570/236,776.32 = 96,142.80/x
  3. Step 3: Cross multiply
    171,570x = 236,776.32 × 96,142.80
  4. Step 4: Simplify right side
    171,570x = 22,764,338,378.50
  5. Step 5: Solve for x
    x = 22,764,338,378.50/171,570
  6. Step 6: Final answer
    x = 132,682.51

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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.