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Finding the Fourth Proportional to 100,708.92, 138,975.62 and 55,391.54

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Solution

The fourth proportional to 100,708.92, 138,975.62 and 55,391.54 is: 76,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.92 : 138,975.62 = 55,391.54 : x
  2. Step 2: Convert to fraction form
    100,708.92/138,975.62 = 55,391.54/x
  3. Step 3: Cross multiply
    100,708.92x = 138,975.62 × 55,391.54
  4. Step 4: Simplify right side
    100,708.92x = 7,698,072,642.42
  5. Step 5: Solve for x
    x = 7,698,072,642.42/100,708.92
  6. Step 6: Final answer
    x = 76,438.84

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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.