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Finding the Fourth Proportional to 264,797.76, 397,193.17 and 65,119.89

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Solution

The fourth proportional to 264,797.76, 397,193.17 and 65,119.89 is: 97,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,797.76 : 397,193.17 = 65,119.89 : x
  2. Step 2: Convert to fraction form
    264,797.76/397,193.17 = 65,119.89/x
  3. Step 3: Cross multiply
    264,797.76x = 397,193.17 × 65,119.89
  4. Step 4: Simplify right side
    264,797.76x = 25,865,175,539.15
  5. Step 5: Solve for x
    x = 25,865,175,539.15/264,797.76
  6. Step 6: Final answer
    x = 97,678.98

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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.