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Finding the Fourth Proportional to 166,902, 230,324.76 and 99,834

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Solution

The fourth proportional to 166,902, 230,324.76 and 99,834 is: 137,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,902 : 230,324.76 = 99,834 : x
  2. Step 2: Convert to fraction form
    166,902/230,324.76 = 99,834/x
  3. Step 3: Cross multiply
    166,902x = 230,324.76 × 99,834
  4. Step 4: Simplify right side
    166,902x = 22,994,242,089.84
  5. Step 5: Solve for x
    x = 22,994,242,089.84/166,902
  6. Step 6: Final answer
    x = 137,770.92

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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.