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Finding the Fourth Proportional to 442,176.84, 663,265.26 and 109,752.84

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Solution

The fourth proportional to 442,176.84, 663,265.26 and 109,752.84 is: 164,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,176.84 : 663,265.26 = 109,752.84 : x
  2. Step 2: Convert to fraction form
    442,176.84/663,265.26 = 109,752.84/x
  3. Step 3: Cross multiply
    442,176.84x = 663,265.26 × 109,752.84
  4. Step 4: Simplify right side
    442,176.84x = 72,795,245,958.34
  5. Step 5: Solve for x
    x = 72,795,245,958.34/442,176.84
  6. Step 6: Final answer
    x = 164,629.26

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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.