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Finding the Fourth Proportional to 274,022.57, 411,024.59 and 96,524.94

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Solution

The fourth proportional to 274,022.57, 411,024.59 and 96,524.94 is: 144,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,022.57 : 411,024.59 = 96,524.94 : x
  2. Step 2: Convert to fraction form
    274,022.57/411,024.59 = 96,524.94/x
  3. Step 3: Cross multiply
    274,022.57x = 411,024.59 × 96,524.94
  4. Step 4: Simplify right side
    274,022.57x = 39,674,121,350.53
  5. Step 5: Solve for x
    x = 39,674,121,350.53/274,022.57
  6. Step 6: Final answer
    x = 144,784.14

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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.