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Finding the Fourth Proportional to 171,645.60, 257,541.30 and 82,853.40

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Solution

The fourth proportional to 171,645.60, 257,541.30 and 82,853.40 is: 124,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,645.60 : 257,541.30 = 82,853.40 : x
  2. Step 2: Convert to fraction form
    171,645.60/257,541.30 = 82,853.40/x
  3. Step 3: Cross multiply
    171,645.60x = 257,541.30 × 82,853.40
  4. Step 4: Simplify right side
    171,645.60x = 21,338,172,345.42
  5. Step 5: Solve for x
    x = 21,338,172,345.42/171,645.60
  6. Step 6: Final answer
    x = 124,315.29

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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.