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Finding the Fourth Proportional to 100,242.47, 138,334.56 and 54,923.33

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Solution

The fourth proportional to 100,242.47, 138,334.56 and 54,923.33 is: 75,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.47 : 138,334.56 = 54,923.33 : x
  2. Step 2: Convert to fraction form
    100,242.47/138,334.56 = 54,923.33/x
  3. Step 3: Cross multiply
    100,242.47x = 138,334.56 × 54,923.33
  4. Step 4: Simplify right side
    100,242.47x = 7,597,794,689.28
  5. Step 5: Solve for x
    x = 7,597,794,689.28/100,242.47
  6. Step 6: Final answer
    x = 75,794.17

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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.