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Finding the Fourth Proportional to 258,604.81, 357,041.33 and 166,765.16

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Solution

The fourth proportional to 258,604.81, 357,041.33 and 166,765.16 is: 230,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,604.81 : 357,041.33 = 166,765.16 : x
  2. Step 2: Convert to fraction form
    258,604.81/357,041.33 = 166,765.16/x
  3. Step 3: Cross multiply
    258,604.81x = 357,041.33 × 166,765.16
  4. Step 4: Simplify right side
    258,604.81x = 59,542,054,524.06
  5. Step 5: Solve for x
    x = 59,542,054,524.06/258,604.81
  6. Step 6: Final answer
    x = 230,243.41

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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.