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Finding the Fourth Proportional to 258,678.94, 356,969.62 and 143,955.75

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Solution

The fourth proportional to 258,678.94, 356,969.62 and 143,955.75 is: 198,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,678.94 : 356,969.62 = 143,955.75 : x
  2. Step 2: Convert to fraction form
    258,678.94/356,969.62 = 143,955.75/x
  3. Step 3: Cross multiply
    258,678.94x = 356,969.62 × 143,955.75
  4. Step 4: Simplify right side
    258,678.94x = 51,387,828,654.54
  5. Step 5: Solve for x
    x = 51,387,828,654.54/258,678.94
  6. Step 6: Final answer
    x = 198,654.86

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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.