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Finding the Fourth Proportional to 258,086.14, 355,911.03 and 167,409.02

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Solution

The fourth proportional to 258,086.14, 355,911.03 and 167,409.02 is: 230,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,086.14 : 355,911.03 = 167,409.02 : x
  2. Step 2: Convert to fraction form
    258,086.14/355,911.03 = 167,409.02/x
  3. Step 3: Cross multiply
    258,086.14x = 355,911.03 × 167,409.02
  4. Step 4: Simplify right side
    258,086.14x = 59,582,714,122.89
  5. Step 5: Solve for x
    x = 59,582,714,122.89/258,086.14
  6. Step 6: Final answer
    x = 230,863.68

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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.