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Finding the Fourth Proportional to 171,615.60, 257,496.30 and 82,823.40

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Solution

The fourth proportional to 171,615.60, 257,496.30 and 82,823.40 is: 124,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,615.60 : 257,496.30 = 82,823.40 : x
  2. Step 2: Convert to fraction form
    171,615.60/257,496.30 = 82,823.40/x
  3. Step 3: Cross multiply
    171,615.60x = 257,496.30 × 82,823.40
  4. Step 4: Simplify right side
    171,615.60x = 21,326,719,053.42
  5. Step 5: Solve for x
    x = 21,326,719,053.42/171,615.60
  6. Step 6: Final answer
    x = 124,270.28

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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.