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Finding the Fourth Proportional to 121,575.53, 167,863.10 and 78,580.46

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Solution

The fourth proportional to 121,575.53, 167,863.10 and 78,580.46 is: 108,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,575.53 : 167,863.10 = 78,580.46 : x
  2. Step 2: Convert to fraction form
    121,575.53/167,863.10 = 78,580.46/x
  3. Step 3: Cross multiply
    121,575.53x = 167,863.10 × 78,580.46
  4. Step 4: Simplify right side
    121,575.53x = 13,190,759,615.03
  5. Step 5: Solve for x
    x = 13,190,759,615.03/121,575.53
  6. Step 6: Final answer
    x = 108,498.48

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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.