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Finding the Fourth Proportional to 150,456, 207,629.28 and 83,392.32

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Solution

The fourth proportional to 150,456, 207,629.28 and 83,392.32 is: 115,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,456 : 207,629.28 = 83,392.32 : x
  2. Step 2: Convert to fraction form
    150,456/207,629.28 = 83,392.32/x
  3. Step 3: Cross multiply
    150,456x = 207,629.28 × 83,392.32
  4. Step 4: Simplify right side
    150,456x = 17,314,687,359.13
  5. Step 5: Solve for x
    x = 17,314,687,359.13/150,456
  6. Step 6: Final answer
    x = 115,081.40

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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.