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Finding the Fourth Proportional to 135,415.90, 202,999.46 and 46,648.30

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Solution

The fourth proportional to 135,415.90, 202,999.46 and 46,648.30 is: 69,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,415.90 : 202,999.46 = 46,648.30 : x
  2. Step 2: Convert to fraction form
    135,415.90/202,999.46 = 46,648.30/x
  3. Step 3: Cross multiply
    135,415.90x = 202,999.46 × 46,648.30
  4. Step 4: Simplify right side
    135,415.90x = 9,469,579,709.92
  5. Step 5: Solve for x
    x = 9,469,579,709.92/135,415.90
  6. Step 6: Final answer
    x = 69,929.60

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Why These Related Problems?

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