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Finding the Fourth Proportional to 175,698.38, 263,271.61 and 135,815.09

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Solution

The fourth proportional to 175,698.38, 263,271.61 and 135,815.09 is: 203,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,698.38 : 263,271.61 = 135,815.09 : x
  2. Step 2: Convert to fraction form
    175,698.38/263,271.61 = 135,815.09/x
  3. Step 3: Cross multiply
    175,698.38x = 263,271.61 × 135,815.09
  4. Step 4: Simplify right side
    175,698.38x = 35,756,257,406.59
  5. Step 5: Solve for x
    x = 35,756,257,406.59/175,698.38
  6. Step 6: Final answer
    x = 203,509.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.