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Finding the Fourth Proportional to 164,535.43, 227,019.84 and 100,003.54

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Solution

The fourth proportional to 164,535.43, 227,019.84 and 100,003.54 is: 137,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535.43 : 227,019.84 = 100,003.54 : x
  2. Step 2: Convert to fraction form
    164,535.43/227,019.84 = 100,003.54/x
  3. Step 3: Cross multiply
    164,535.43x = 227,019.84 × 100,003.54
  4. Step 4: Simplify right side
    164,535.43x = 22,702,787,650.23
  5. Step 5: Solve for x
    x = 22,702,787,650.23/164,535.43
  6. Step 6: Final answer
    x = 137,981.15

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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.