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Finding the Fourth Proportional to 258,065.84, 356,121.68 and 144,893.36

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Solution

The fourth proportional to 258,065.84, 356,121.68 and 144,893.36 is: 199,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,065.84 : 356,121.68 = 144,893.36 : x
  2. Step 2: Convert to fraction form
    258,065.84/356,121.68 = 144,893.36/x
  3. Step 3: Cross multiply
    258,065.84x = 356,121.68 × 144,893.36
  4. Step 4: Simplify right side
    258,065.84x = 51,599,666,784.04
  5. Step 5: Solve for x
    x = 51,599,666,784.04/258,065.84
  6. Step 6: Final answer
    x = 199,947.68

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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.