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Finding the Fourth Proportional to 258,222.46, 356,291.71 and 150,743.71

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Solution

The fourth proportional to 258,222.46, 356,291.71 and 150,743.71 is: 207,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,222.46 : 356,291.71 = 150,743.71 : x
  2. Step 2: Convert to fraction form
    258,222.46/356,291.71 = 150,743.71/x
  3. Step 3: Cross multiply
    258,222.46x = 356,291.71 × 150,743.71
  4. Step 4: Simplify right side
    258,222.46x = 53,708,734,207.64
  5. Step 5: Solve for x
    x = 53,708,734,207.64/258,222.46
  6. Step 6: Final answer
    x = 207,994.05

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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.