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Finding the Fourth Proportional to 109,514.22, 164,422.61 and 75,696.93

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Solution

The fourth proportional to 109,514.22, 164,422.61 and 75,696.93 is: 113,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514.22 : 164,422.61 = 75,696.93 : x
  2. Step 2: Convert to fraction form
    109,514.22/164,422.61 = 75,696.93/x
  3. Step 3: Cross multiply
    109,514.22x = 164,422.61 × 75,696.93
  4. Step 4: Simplify right side
    109,514.22x = 12,446,286,421.10
  5. Step 5: Solve for x
    x = 12,446,286,421.10/109,514.22
  6. Step 6: Final answer
    x = 113,649.96

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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.