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Finding the Fourth Proportional to 212,311.84, 318,459.50 and 79,191.84

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Solution

The fourth proportional to 212,311.84, 318,459.50 and 79,191.84 is: 118,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,311.84 : 318,459.50 = 79,191.84 : x
  2. Step 2: Convert to fraction form
    212,311.84/318,459.50 = 79,191.84/x
  3. Step 3: Cross multiply
    212,311.84x = 318,459.50 × 79,191.84
  4. Step 4: Simplify right side
    212,311.84x = 25,219,393,770.48
  5. Step 5: Solve for x
    x = 25,219,393,770.48/212,311.84
  6. Step 6: Final answer
    x = 118,784.68

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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.