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Finding the Fourth Proportional to 171,920.96, 257,869.27 and 45,558.41

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Solution

The fourth proportional to 171,920.96, 257,869.27 and 45,558.41 is: 68,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,920.96 : 257,869.27 = 45,558.41 : x
  2. Step 2: Convert to fraction form
    171,920.96/257,869.27 = 45,558.41/x
  3. Step 3: Cross multiply
    171,920.96x = 257,869.27 × 45,558.41
  4. Step 4: Simplify right side
    171,920.96x = 11,748,114,147.18
  5. Step 5: Solve for x
    x = 11,748,114,147.18/171,920.96
  6. Step 6: Final answer
    x = 68,334.39

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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.