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Finding the Fourth Proportional to 274,645.84, 411,636.08 and 116,542.14

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Solution

The fourth proportional to 274,645.84, 411,636.08 and 116,542.14 is: 174,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,645.84 : 411,636.08 = 116,542.14 : x
  2. Step 2: Convert to fraction form
    274,645.84/411,636.08 = 116,542.14/x
  3. Step 3: Cross multiply
    274,645.84x = 411,636.08 × 116,542.14
  4. Step 4: Simplify right side
    274,645.84x = 47,972,949,664.41
  5. Step 5: Solve for x
    x = 47,972,949,664.41/274,645.84
  6. Step 6: Final answer
    x = 174,672.04

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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.