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Finding the Fourth Proportional to 166,563, 229,967.82 and 98,601.84

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Solution

The fourth proportional to 166,563, 229,967.82 and 98,601.84 is: 136,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,563 : 229,967.82 = 98,601.84 : x
  2. Step 2: Convert to fraction form
    166,563/229,967.82 = 98,601.84/x
  3. Step 3: Cross multiply
    166,563x = 229,967.82 × 98,601.84
  4. Step 4: Simplify right side
    166,563x = 22,675,250,192.79
  5. Step 5: Solve for x
    x = 22,675,250,192.79/166,563
  6. Step 6: Final answer
    x = 136,136.18

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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.