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Finding the Fourth Proportional to 121,168.71, 167,155.38 and 85,378.41

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Solution

The fourth proportional to 121,168.71, 167,155.38 and 85,378.41 is: 117,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,168.71 : 167,155.38 = 85,378.41 : x
  2. Step 2: Convert to fraction form
    121,168.71/167,155.38 = 85,378.41/x
  3. Step 3: Cross multiply
    121,168.71x = 167,155.38 × 85,378.41
  4. Step 4: Simplify right side
    121,168.71x = 14,271,460,567.35
  5. Step 5: Solve for x
    x = 14,271,460,567.35/121,168.71
  6. Step 6: Final answer
    x = 117,781.73

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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.