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Finding the Fourth Proportional to 258,830.46, 357,131.13 and 163,281.78

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Solution

The fourth proportional to 258,830.46, 357,131.13 and 163,281.78 is: 225,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.46 : 357,131.13 = 163,281.78 : x
  2. Step 2: Convert to fraction form
    258,830.46/357,131.13 = 163,281.78/x
  3. Step 3: Cross multiply
    258,830.46x = 357,131.13 × 163,281.78
  4. Step 4: Simplify right side
    258,830.46x = 58,313,007,046.23
  5. Step 5: Solve for x
    x = 58,313,007,046.23/258,830.46
  6. Step 6: Final answer
    x = 225,294.22

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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.