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Finding the Fourth Proportional to 274,808.88, 412,214.24 and 97,321.07

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Solution

The fourth proportional to 274,808.88, 412,214.24 and 97,321.07 is: 145,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,808.88 : 412,214.24 = 97,321.07 : x
  2. Step 2: Convert to fraction form
    274,808.88/412,214.24 = 97,321.07/x
  3. Step 3: Cross multiply
    274,808.88x = 412,214.24 × 97,321.07
  4. Step 4: Simplify right side
    274,808.88x = 40,117,132,179.88
  5. Step 5: Solve for x
    x = 40,117,132,179.88/274,808.88
  6. Step 6: Final answer
    x = 145,981.94

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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.