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Finding the Fourth Proportional to 193,311.80, 289,964.04 and 79,435.40

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Solution

The fourth proportional to 193,311.80, 289,964.04 and 79,435.40 is: 119,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,311.80 : 289,964.04 = 79,435.40 : x
  2. Step 2: Convert to fraction form
    193,311.80/289,964.04 = 79,435.40/x
  3. Step 3: Cross multiply
    193,311.80x = 289,964.04 × 79,435.40
  4. Step 4: Simplify right side
    193,311.80x = 23,033,409,503.02
  5. Step 5: Solve for x
    x = 23,033,409,503.02/193,311.80
  6. Step 6: Final answer
    x = 119,151.60

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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.