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Finding the Fourth Proportional to 68,133, 102,200.41 and 21,385.88

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Solution

The fourth proportional to 68,133, 102,200.41 and 21,385.88 is: 32,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133 : 102,200.41 = 21,385.88 : x
  2. Step 2: Convert to fraction form
    68,133/102,200.41 = 21,385.88/x
  3. Step 3: Cross multiply
    68,133x = 102,200.41 × 21,385.88
  4. Step 4: Simplify right side
    68,133x = 2,185,645,193.21
  5. Step 5: Solve for x
    x = 2,185,645,193.21/68,133
  6. Step 6: Final answer
    x = 32,079.10

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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.