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Finding the Fourth Proportional to 171,416.83, 257,291.09 and 82,732.76

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Solution

The fourth proportional to 171,416.83, 257,291.09 and 82,732.76 is: 124,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,416.83 : 257,291.09 = 82,732.76 : x
  2. Step 2: Convert to fraction form
    171,416.83/257,291.09 = 82,732.76/x
  3. Step 3: Cross multiply
    171,416.83x = 257,291.09 × 82,732.76
  4. Step 4: Simplify right side
    171,416.83x = 21,286,402,538.92
  5. Step 5: Solve for x
    x = 21,286,402,538.92/171,416.83
  6. Step 6: Final answer
    x = 124,179.19

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1.5x scale

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.