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Finding the Fourth Proportional to 260,851.84, 391,355.76 and 149,966.08

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Solution

The fourth proportional to 260,851.84, 391,355.76 and 149,966.08 is: 224,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,851.84 : 391,355.76 = 149,966.08 : x
  2. Step 2: Convert to fraction form
    260,851.84/391,355.76 = 149,966.08/x
  3. Step 3: Cross multiply
    260,851.84x = 391,355.76 × 149,966.08
  4. Step 4: Simplify right side
    260,851.84x = 58,690,089,212.62
  5. Step 5: Solve for x
    x = 58,690,089,212.62/260,851.84
  6. Step 6: Final answer
    x = 224,993.96

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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.