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Finding the Fourth Proportional to 135,651.96, 203,412.28 and 46,874.32

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Solution

The fourth proportional to 135,651.96, 203,412.28 and 46,874.32 is: 70,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,651.96 : 203,412.28 = 46,874.32 : x
  2. Step 2: Convert to fraction form
    135,651.96/203,412.28 = 46,874.32/x
  3. Step 3: Cross multiply
    135,651.96x = 203,412.28 × 46,874.32
  4. Step 4: Simplify right side
    135,651.96x = 9,534,812,304.65
  5. Step 5: Solve for x
    x = 9,534,812,304.65/135,651.96
  6. Step 6: Final answer
    x = 70,288.79

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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.