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Finding the Fourth Proportional to 274,196.40, 411,323.76 and 87,164.16

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Solution

The fourth proportional to 274,196.40, 411,323.76 and 87,164.16 is: 130,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,196.40 : 411,323.76 = 87,164.16 : x
  2. Step 2: Convert to fraction form
    274,196.40/411,323.76 = 87,164.16/x
  3. Step 3: Cross multiply
    274,196.40x = 411,323.76 × 87,164.16
  4. Step 4: Simplify right side
    274,196.40x = 35,852,690,028.44
  5. Step 5: Solve for x
    x = 35,852,690,028.44/274,196.40
  6. Step 6: Final answer
    x = 130,755.51

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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.