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Finding the Fourth Proportional to 78,205.44, 117,300 and 22,044.12

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Solution

The fourth proportional to 78,205.44, 117,300 and 22,044.12 is: 33,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.44 : 117,300 = 22,044.12 : x
  2. Step 2: Convert to fraction form
    78,205.44/117,300 = 22,044.12/x
  3. Step 3: Cross multiply
    78,205.44x = 117,300 × 22,044.12
  4. Step 4: Simplify right side
    78,205.44x = 2,585,775,276
  5. Step 5: Solve for x
    x = 2,585,775,276/78,205.44
  6. Step 6: Final answer
    x = 33,063.88

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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.