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Finding the Fourth Proportional to 175,880.70, 264,015.45 and 109,395.90

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Solution

The fourth proportional to 175,880.70, 264,015.45 and 109,395.90 is: 164,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,880.70 : 264,015.45 = 109,395.90 : x
  2. Step 2: Convert to fraction form
    175,880.70/264,015.45 = 109,395.90/x
  3. Step 3: Cross multiply
    175,880.70x = 264,015.45 × 109,395.90
  4. Step 4: Simplify right side
    175,880.70x = 28,882,207,766.66
  5. Step 5: Solve for x
    x = 28,882,207,766.66/175,880.70
  6. Step 6: Final answer
    x = 164,214.76

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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.