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Finding the Fourth Proportional to 167,202.48, 230,739.40 and 95,584

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Solution

The fourth proportional to 167,202.48, 230,739.40 and 95,584 is: 131,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,202.48 : 230,739.40 = 95,584 : x
  2. Step 2: Convert to fraction form
    167,202.48/230,739.40 = 95,584/x
  3. Step 3: Cross multiply
    167,202.48x = 230,739.40 × 95,584
  4. Step 4: Simplify right side
    167,202.48x = 22,054,994,809.60
  5. Step 5: Solve for x
    x = 22,054,994,809.60/167,202.48
  6. Step 6: Final answer
    x = 131,905.91

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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.