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Finding the Fourth Proportional to 274,060.80, 411,274.80 and 96,568.20

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Solution

The fourth proportional to 274,060.80, 411,274.80 and 96,568.20 is: 144,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,060.80 : 411,274.80 = 96,568.20 : x
  2. Step 2: Convert to fraction form
    274,060.80/411,274.80 = 96,568.20/x
  3. Step 3: Cross multiply
    274,060.80x = 411,274.80 × 96,568.20
  4. Step 4: Simplify right side
    274,060.80x = 39,716,067,141.36
  5. Step 5: Solve for x
    x = 39,716,067,141.36/274,060.80
  6. Step 6: Final answer
    x = 144,916.99

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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.