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Finding the Fourth Proportional to 260,084.50, 390,126.75 and 73,096

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Solution

The fourth proportional to 260,084.50, 390,126.75 and 73,096 is: 109,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084.50 : 390,126.75 = 73,096 : x
  2. Step 2: Convert to fraction form
    260,084.50/390,126.75 = 73,096/x
  3. Step 3: Cross multiply
    260,084.50x = 390,126.75 × 73,096
  4. Step 4: Simplify right side
    260,084.50x = 28,516,704,918
  5. Step 5: Solve for x
    x = 28,516,704,918/260,084.50
  6. Step 6: Final answer
    x = 109,644

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.