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Finding the Fourth Proportional to 274,677.50, 412,018.82 and 97,214.60

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Solution

The fourth proportional to 274,677.50, 412,018.82 and 97,214.60 is: 145,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,677.50 : 412,018.82 = 97,214.60 : x
  2. Step 2: Convert to fraction form
    274,677.50/412,018.82 = 97,214.60/x
  3. Step 3: Cross multiply
    274,677.50x = 412,018.82 × 97,214.60
  4. Step 4: Simplify right side
    274,677.50x = 40,054,244,778.77
  5. Step 5: Solve for x
    x = 40,054,244,778.77/274,677.50
  6. Step 6: Final answer
    x = 145,822.81

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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.