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Finding the Fourth Proportional to 143,097.92, 214,644.36 and 49,602.32

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Solution

The fourth proportional to 143,097.92, 214,644.36 and 49,602.32 is: 74,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,097.92 : 214,644.36 = 49,602.32 : x
  2. Step 2: Convert to fraction form
    143,097.92/214,644.36 = 49,602.32/x
  3. Step 3: Cross multiply
    143,097.92x = 214,644.36 × 49,602.32
  4. Step 4: Simplify right side
    143,097.92x = 10,646,858,230.92
  5. Step 5: Solve for x
    x = 10,646,858,230.92/143,097.92
  6. Step 6: Final answer
    x = 74,402.61

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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.