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Finding the Fourth Proportional to 129,093, 193,638 and 90,985.74

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Solution

The fourth proportional to 129,093, 193,638 and 90,985.74 is: 136,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,093 : 193,638 = 90,985.74 : x
  2. Step 2: Convert to fraction form
    129,093/193,638 = 90,985.74/x
  3. Step 3: Cross multiply
    129,093x = 193,638 × 90,985.74
  4. Step 4: Simplify right side
    129,093x = 17,618,296,722.12
  5. Step 5: Solve for x
    x = 17,618,296,722.12/129,093
  6. Step 6: Final answer
    x = 136,477.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.