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Finding the Fourth Proportional to 133,442.48, 200,204.76 and 71,066

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Solution

The fourth proportional to 133,442.48, 200,204.76 and 71,066 is: 106,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,442.48 : 200,204.76 = 71,066 : x
  2. Step 2: Convert to fraction form
    133,442.48/200,204.76 = 71,066/x
  3. Step 3: Cross multiply
    133,442.48x = 200,204.76 × 71,066
  4. Step 4: Simplify right side
    133,442.48x = 14,227,751,474.16
  5. Step 5: Solve for x
    x = 14,227,751,474.16/133,442.48
  6. Step 6: Final answer
    x = 106,620.86

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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.