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Finding the Fourth Proportional to 171,877.40, 257,823.09 and 81,873.85

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Solution

The fourth proportional to 171,877.40, 257,823.09 and 81,873.85 is: 122,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,877.40 : 257,823.09 = 81,873.85 : x
  2. Step 2: Convert to fraction form
    171,877.40/257,823.09 = 81,873.85/x
  3. Step 3: Cross multiply
    171,877.40x = 257,823.09 × 81,873.85
  4. Step 4: Simplify right side
    171,877.40x = 21,108,968,659.67
  5. Step 5: Solve for x
    x = 21,108,968,659.67/171,877.40
  6. Step 6: Final answer
    x = 122,814.10

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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.