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Finding the Fourth Proportional to 260,061, 358,884.18 and 140,829

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Solution

The fourth proportional to 260,061, 358,884.18 and 140,829 is: 194,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,061 : 358,884.18 = 140,829 : x
  2. Step 2: Convert to fraction form
    260,061/358,884.18 = 140,829/x
  3. Step 3: Cross multiply
    260,061x = 358,884.18 × 140,829
  4. Step 4: Simplify right side
    260,061x = 50,541,300,185.22
  5. Step 5: Solve for x
    x = 50,541,300,185.22/260,061
  6. Step 6: Final answer
    x = 194,344.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.