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Finding the Fourth Proportional to 136,309.62, 204,449.83 and 47,564.81

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Solution

The fourth proportional to 136,309.62, 204,449.83 and 47,564.81 is: 71,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,309.62 : 204,449.83 = 47,564.81 : x
  2. Step 2: Convert to fraction form
    136,309.62/204,449.83 = 47,564.81/x
  3. Step 3: Cross multiply
    136,309.62x = 204,449.83 × 47,564.81
  4. Step 4: Simplify right side
    136,309.62x = 9,724,616,177.32
  5. Step 5: Solve for x
    x = 9,724,616,177.32/136,309.62
  6. Step 6: Final answer
    x = 71,342.11

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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.