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Finding the Fourth Proportional to 188,446.50, 282,720.78 and 63,787.50

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Solution

The fourth proportional to 188,446.50, 282,720.78 and 63,787.50 is: 95,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,446.50 : 282,720.78 = 63,787.50 : x
  2. Step 2: Convert to fraction form
    188,446.50/282,720.78 = 63,787.50/x
  3. Step 3: Cross multiply
    188,446.50x = 282,720.78 × 63,787.50
  4. Step 4: Simplify right side
    188,446.50x = 18,034,051,754.25
  5. Step 5: Solve for x
    x = 18,034,051,754.25/188,446.50
  6. Step 6: Final answer
    x = 95,698.52

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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.