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Finding the Fourth Proportional to 137,097.36, 205,667.64 and 58,212

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Solution

The fourth proportional to 137,097.36, 205,667.64 and 58,212 is: 87,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.36 : 205,667.64 = 58,212 : x
  2. Step 2: Convert to fraction form
    137,097.36/205,667.64 = 58,212/x
  3. Step 3: Cross multiply
    137,097.36x = 205,667.64 × 58,212
  4. Step 4: Simplify right side
    137,097.36x = 11,972,324,659.68
  5. Step 5: Solve for x
    x = 11,972,324,659.68/137,097.36
  6. Step 6: Final answer
    x = 87,327.17

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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.