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Finding the Fourth Proportional to 185,446.62, 255,914.10 and 100,562.67

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Solution

The fourth proportional to 185,446.62, 255,914.10 and 100,562.67 is: 138,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,446.62 : 255,914.10 = 100,562.67 : x
  2. Step 2: Convert to fraction form
    185,446.62/255,914.10 = 100,562.67/x
  3. Step 3: Cross multiply
    185,446.62x = 255,914.10 × 100,562.67
  4. Step 4: Simplify right side
    185,446.62x = 25,735,405,186.65
  5. Step 5: Solve for x
    x = 25,735,405,186.65/185,446.62
  6. Step 6: Final answer
    x = 138,775.27

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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.