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Finding the Fourth Proportional to 641,383.14, 962,001 and 168,105.81

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Solution

The fourth proportional to 641,383.14, 962,001 and 168,105.81 is: 252,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,383.14 : 962,001 = 168,105.81 : x
  2. Step 2: Convert to fraction form
    641,383.14/962,001 = 168,105.81/x
  3. Step 3: Cross multiply
    641,383.14x = 962,001 × 168,105.81
  4. Step 4: Simplify right side
    641,383.14x = 161,717,957,325.81
  5. Step 5: Solve for x
    x = 161,717,957,325.81/641,383.14
  6. Step 6: Final answer
    x = 252,139.40

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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.