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Finding the Fourth Proportional to 274,195.76, 411,140.81 and 84,602.30

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Solution

The fourth proportional to 274,195.76, 411,140.81 and 84,602.30 is: 126,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,195.76 : 411,140.81 = 84,602.30 : x
  2. Step 2: Convert to fraction form
    274,195.76/411,140.81 = 84,602.30/x
  3. Step 3: Cross multiply
    274,195.76x = 411,140.81 × 84,602.30
  4. Step 4: Simplify right side
    274,195.76x = 34,783,456,094.16
  5. Step 5: Solve for x
    x = 34,783,456,094.16/274,195.76
  6. Step 6: Final answer
    x = 126,856.29

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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.