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Finding the Fourth Proportional to 136,707.94, 188,643.86 and 83,022.36

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Solution

The fourth proportional to 136,707.94, 188,643.86 and 83,022.36 is: 114,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,707.94 : 188,643.86 = 83,022.36 : x
  2. Step 2: Convert to fraction form
    136,707.94/188,643.86 = 83,022.36/x
  3. Step 3: Cross multiply
    136,707.94x = 188,643.86 × 83,022.36
  4. Step 4: Simplify right side
    136,707.94x = 15,661,658,456.71
  5. Step 5: Solve for x
    x = 15,661,658,456.71/136,707.94
  6. Step 6: Final answer
    x = 114,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.