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Finding the Fourth Proportional to 274,706.64, 412,061.04 and 97,213.68

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Solution

The fourth proportional to 274,706.64, 412,061.04 and 97,213.68 is: 145,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,706.64 : 412,061.04 = 97,213.68 : x
  2. Step 2: Convert to fraction form
    274,706.64/412,061.04 = 97,213.68/x
  3. Step 3: Cross multiply
    274,706.64x = 412,061.04 × 97,213.68
  4. Step 4: Simplify right side
    274,706.64x = 40,057,970,083.03
  5. Step 5: Solve for x
    x = 40,057,970,083.03/274,706.64
  6. Step 6: Final answer
    x = 145,820.90

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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.