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Finding the Fourth Proportional to 204,878.70, 307,500.30 and 120,533.40

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Solution

The fourth proportional to 204,878.70, 307,500.30 and 120,533.40 is: 180,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,878.70 : 307,500.30 = 120,533.40 : x
  2. Step 2: Convert to fraction form
    204,878.70/307,500.30 = 120,533.40/x
  3. Step 3: Cross multiply
    204,878.70x = 307,500.30 × 120,533.40
  4. Step 4: Simplify right side
    204,878.70x = 37,064,056,660.02
  5. Step 5: Solve for x
    x = 37,064,056,660.02/204,878.70
  6. Step 6: Final answer
    x = 180,907.32

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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.