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Finding the Fourth Proportional to 273,990.38, 411,018.78 and 96,461.06

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Solution

The fourth proportional to 273,990.38, 411,018.78 and 96,461.06 is: 144,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,990.38 : 411,018.78 = 96,461.06 : x
  2. Step 2: Convert to fraction form
    273,990.38/411,018.78 = 96,461.06/x
  3. Step 3: Cross multiply
    273,990.38x = 411,018.78 × 96,461.06
  4. Step 4: Simplify right side
    273,990.38x = 39,647,307,198.71
  5. Step 5: Solve for x
    x = 39,647,307,198.71/273,990.38
  6. Step 6: Final answer
    x = 144,703.28

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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.