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Finding the Fourth Proportional to 258,677.84, 356,980.20 and 143,966

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Solution

The fourth proportional to 258,677.84, 356,980.20 and 143,966 is: 198,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,677.84 : 356,980.20 = 143,966 : x
  2. Step 2: Convert to fraction form
    258,677.84/356,980.20 = 143,966/x
  3. Step 3: Cross multiply
    258,677.84x = 356,980.20 × 143,966
  4. Step 4: Simplify right side
    258,677.84x = 51,393,011,473.20
  5. Step 5: Solve for x
    x = 51,393,011,473.20/258,677.84
  6. Step 6: Final answer
    x = 198,675.74

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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.