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Finding the Fourth Proportional to 121,118.75, 166,970.65 and 85,197.27

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Solution

The fourth proportional to 121,118.75, 166,970.65 and 85,197.27 is: 117,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,118.75 : 166,970.65 = 85,197.27 : x
  2. Step 2: Convert to fraction form
    121,118.75/166,970.65 = 85,197.27/x
  3. Step 3: Cross multiply
    121,118.75x = 166,970.65 × 85,197.27
  4. Step 4: Simplify right side
    121,118.75x = 14,225,443,550.13
  5. Step 5: Solve for x
    x = 14,225,443,550.13/121,118.75
  6. Step 6: Final answer
    x = 117,450.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.