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Finding the Fourth Proportional to 274,312.71, 411,385.37 and 96,778.26

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Solution

The fourth proportional to 274,312.71, 411,385.37 and 96,778.26 is: 145,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,312.71 : 411,385.37 = 96,778.26 : x
  2. Step 2: Convert to fraction form
    274,312.71/411,385.37 = 96,778.26/x
  3. Step 3: Cross multiply
    274,312.71x = 411,385.37 × 96,778.26
  4. Step 4: Simplify right side
    274,312.71x = 39,813,159,814.16
  5. Step 5: Solve for x
    x = 39,813,159,814.16/274,312.71
  6. Step 6: Final answer
    x = 145,137.86

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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.