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Finding the Fourth Proportional to 206,684.40, 285,285.06 and 135,075.54

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Solution

The fourth proportional to 206,684.40, 285,285.06 and 135,075.54 is: 186,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.40 : 285,285.06 = 135,075.54 : x
  2. Step 2: Convert to fraction form
    206,684.40/285,285.06 = 135,075.54/x
  3. Step 3: Cross multiply
    206,684.40x = 285,285.06 × 135,075.54
  4. Step 4: Simplify right side
    206,684.40x = 38,535,033,533.43
  5. Step 5: Solve for x
    x = 38,535,033,533.43/206,684.40
  6. Step 6: Final answer
    x = 186,443.84

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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.