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Finding the Fourth Proportional to 197,114, 271,697.88 and 154,018.16

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Solution

The fourth proportional to 197,114, 271,697.88 and 154,018.16 is: 212,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,114 : 271,697.88 = 154,018.16 : x
  2. Step 2: Convert to fraction form
    197,114/271,697.88 = 154,018.16/x
  3. Step 3: Cross multiply
    197,114x = 271,697.88 × 154,018.16
  4. Step 4: Simplify right side
    197,114x = 41,846,407,553.50
  5. Step 5: Solve for x
    x = 41,846,407,553.50/197,114
  6. Step 6: Final answer
    x = 212,295.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.