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Finding the Fourth Proportional to 260,839.16, 391,274.10 and 73,835

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Solution

The fourth proportional to 260,839.16, 391,274.10 and 73,835 is: 110,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,839.16 : 391,274.10 = 73,835 : x
  2. Step 2: Convert to fraction form
    260,839.16/391,274.10 = 73,835/x
  3. Step 3: Cross multiply
    260,839.16x = 391,274.10 × 73,835
  4. Step 4: Simplify right side
    260,839.16x = 28,889,723,173.50
  5. Step 5: Solve for x
    x = 28,889,723,173.50/260,839.16
  6. Step 6: Final answer
    x = 110,756.85

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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.