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Finding the Fourth Proportional to 175,320, 241,945.44 and 95,832

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Solution

The fourth proportional to 175,320, 241,945.44 and 95,832 is: 132,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,320 : 241,945.44 = 95,832 : x
  2. Step 2: Convert to fraction form
    175,320/241,945.44 = 95,832/x
  3. Step 3: Cross multiply
    175,320x = 241,945.44 × 95,832
  4. Step 4: Simplify right side
    175,320x = 23,186,115,406.08
  5. Step 5: Solve for x
    x = 23,186,115,406.08/175,320
  6. Step 6: Final answer
    x = 132,250.26

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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.