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Finding the Fourth Proportional to 185,446.23, 255,915.93 and 100,563.27

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Solution

The fourth proportional to 185,446.23, 255,915.93 and 100,563.27 is: 138,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,446.23 : 255,915.93 = 100,563.27 : x
  2. Step 2: Convert to fraction form
    185,446.23/255,915.93 = 100,563.27/x
  3. Step 3: Cross multiply
    185,446.23x = 255,915.93 × 100,563.27
  4. Step 4: Simplify right side
    185,446.23x = 25,735,742,765.89
  5. Step 5: Solve for x
    x = 25,735,742,765.89/185,446.23
  6. Step 6: Final answer
    x = 138,777.38

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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.