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Finding the Fourth Proportional to 164,507.56, 227,024.58 and 100,880.44

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Solution

The fourth proportional to 164,507.56, 227,024.58 and 100,880.44 is: 139,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,507.56 : 227,024.58 = 100,880.44 : x
  2. Step 2: Convert to fraction form
    164,507.56/227,024.58 = 100,880.44/x
  3. Step 3: Cross multiply
    164,507.56x = 227,024.58 × 100,880.44
  4. Step 4: Simplify right side
    164,507.56x = 22,902,339,521.22
  5. Step 5: Solve for x
    x = 22,902,339,521.22/164,507.56
  6. Step 6: Final answer
    x = 139,217.55

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1.5x scale

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.