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Finding the Fourth Proportional to 258,830.96, 357,131.82 and 163,282.28

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Solution

The fourth proportional to 258,830.96, 357,131.82 and 163,282.28 is: 225,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.96 : 357,131.82 = 163,282.28 : x
  2. Step 2: Convert to fraction form
    258,830.96/357,131.82 = 163,282.28/x
  3. Step 3: Cross multiply
    258,830.96x = 357,131.82 × 163,282.28
  4. Step 4: Simplify right side
    258,830.96x = 58,313,297,830.15
  5. Step 5: Solve for x
    x = 58,313,297,830.15/258,830.96
  6. Step 6: Final answer
    x = 225,294.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.