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Finding the Fourth Proportional to 274,210.43, 411,377.13 and 96,718.91

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Solution

The fourth proportional to 274,210.43, 411,377.13 and 96,718.91 is: 145,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,210.43 : 411,377.13 = 96,718.91 : x
  2. Step 2: Convert to fraction form
    274,210.43/411,377.13 = 96,718.91/x
  3. Step 3: Cross multiply
    274,210.43x = 411,377.13 × 96,718.91
  4. Step 4: Simplify right side
    274,210.43x = 39,787,945,555.64
  5. Step 5: Solve for x
    x = 39,787,945,555.64/274,210.43
  6. Step 6: Final answer
    x = 145,100.05

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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.