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Finding the Fourth Proportional to 104,358.82, 156,294.78 and 76,209.16

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Solution

The fourth proportional to 104,358.82, 156,294.78 and 76,209.16 is: 114,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,358.82 : 156,294.78 = 76,209.16 : x
  2. Step 2: Convert to fraction form
    104,358.82/156,294.78 = 76,209.16/x
  3. Step 3: Cross multiply
    104,358.82x = 156,294.78 × 76,209.16
  4. Step 4: Simplify right side
    104,358.82x = 11,911,093,896.18
  5. Step 5: Solve for x
    x = 11,911,093,896.18/104,358.82
  6. Step 6: Final answer
    x = 114,135.96

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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.