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Finding the Fourth Proportional to 171,881.41, 257,829.11 and 81,877.86

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Solution

The fourth proportional to 171,881.41, 257,829.11 and 81,877.86 is: 122,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,881.41 : 257,829.11 = 81,877.86 : x
  2. Step 2: Convert to fraction form
    171,881.41/257,829.11 = 81,877.86/x
  3. Step 3: Cross multiply
    171,881.41x = 257,829.11 × 81,877.86
  4. Step 4: Simplify right side
    171,881.41x = 21,110,495,772.50
  5. Step 5: Solve for x
    x = 21,110,495,772.50/171,881.41
  6. Step 6: Final answer
    x = 122,820.12

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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.