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Finding the Fourth Proportional to 274,043.16, 411,064.20 and 103,296.78

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Solution

The fourth proportional to 274,043.16, 411,064.20 and 103,296.78 is: 154,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043.16 : 411,064.20 = 103,296.78 : x
  2. Step 2: Convert to fraction form
    274,043.16/411,064.20 = 103,296.78/x
  3. Step 3: Cross multiply
    274,043.16x = 411,064.20 × 103,296.78
  4. Step 4: Simplify right side
    274,043.16x = 42,461,608,233.28
  5. Step 5: Solve for x
    x = 42,461,608,233.28/274,043.16
  6. Step 6: Final answer
    x = 154,944.97

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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.